Nonstationary Analogs of the Herglotz Representation Theorem: Realizations Centered at an Arbitrary Point View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2001

AUTHORS

D. Alpay , A. Dijksma , Y. Peretz

ABSTRACT

In this paper we prove generalized Herglotz representation theorems for bounded upper triangular operators with nonnegative real part when the base “point” (in fact a diagonal operator) is different from 0.

PAGES

63-87

References to SciGraph publications

Book

TITLE

Recent Advances in Operator Theory

ISBN

978-3-0348-9516-3
978-3-0348-8323-8

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-0348-8323-8_3

DOI

http://dx.doi.org/10.1007/978-3-0348-8323-8_3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1021444169


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "author": [
      {
        "affiliation": {
          "alternateName": "Ben-Gurion University of the Negev", 
          "id": "https://www.grid.ac/institutes/grid.7489.2", 
          "name": [
            "Department of Mathematics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Alpay", 
        "givenName": "D.", 
        "id": "sg:person.011517101346.40", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011517101346.40"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Groningen", 
          "id": "https://www.grid.ac/institutes/grid.4830.f", 
          "name": [
            "Department of Mathematics, University of Groningen, POB 800, 9700 AV, Groningen, The Netherlands"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Dijksma", 
        "givenName": "A.", 
        "id": "sg:person.013762723211.39", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013762723211.39"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Ben-Gurion University of the Negev", 
          "id": "https://www.grid.ac/institutes/grid.7489.2", 
          "name": [
            "Department of Mathematics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Peretz", 
        "givenName": "Y.", 
        "id": "sg:person.012071607241.25", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012071607241.25"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1007624556", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8908-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007624556", 
          "https://doi.org/10.1007/978-3-0348-8908-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8908-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007624556", 
          "https://doi.org/10.1007/978-3-0348-8908-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jfan.1999.3426", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015180720"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01194748", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021610167", 
          "https://doi.org/10.1007/bf01194748"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01194748", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021610167", 
          "https://doi.org/10.1007/bf01194748"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8615-4_5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022133360", 
          "https://doi.org/10.1007/978-3-0348-8615-4_5"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8615-4_5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022133360", 
          "https://doi.org/10.1007/978-3-0348-8615-4_5"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1022976666", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8791-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022976666", 
          "https://doi.org/10.1007/978-3-0348-8791-5"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8791-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022976666", 
          "https://doi.org/10.1007/978-3-0348-8791-5"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-7701-5_2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024023212", 
          "https://doi.org/10.1007/978-3-0348-7701-5_2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8615-4_2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024731672", 
          "https://doi.org/10.1007/978-3-0348-8615-4_2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8615-4_2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024731672", 
          "https://doi.org/10.1007/978-3-0348-8615-4_2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8812-7_3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028436680", 
          "https://doi.org/10.1007/978-3-0348-8812-7_3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8812-7_3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028436680", 
          "https://doi.org/10.1007/978-3-0348-8812-7_3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01191244", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038657461", 
          "https://doi.org/10.1007/bf01191244"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01191244", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038657461", 
          "https://doi.org/10.1007/bf01191244"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jfan.1998.3278", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047954570"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2001", 
    "datePublishedReg": "2001-01-01", 
    "description": "In this paper we prove generalized Herglotz representation theorems for bounded upper triangular operators with nonnegative real part when the base \u201cpoint\u201d (in fact a diagonal operator) is different from 0.", 
    "editor": [
      {
        "familyName": "Dijksma", 
        "givenName": "A.", 
        "type": "Person"
      }, 
      {
        "familyName": "Kaashoek", 
        "givenName": "M. A.", 
        "type": "Person"
      }, 
      {
        "familyName": "Ran", 
        "givenName": "A. C. M.", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-0348-8323-8_3", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-0348-9516-3", 
        "978-3-0348-8323-8"
      ], 
      "name": "Recent Advances in Operator Theory", 
      "type": "Book"
    }, 
    "name": "Nonstationary Analogs of the Herglotz Representation Theorem: Realizations Centered at an Arbitrary Point", 
    "pagination": "63-87", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1021444169"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-0348-8323-8_3"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "662b7978f98b9d4f01b35ac397fa112c05bace9056944c2d1899a4fd1480cea0"
        ]
      }
    ], 
    "publisher": {
      "location": "Basel", 
      "name": "Birkh\u00e4user Basel", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-0348-8323-8_3", 
      "https://app.dimensions.ai/details/publication/pub.1021444169"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-16T09:01", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000370_0000000370/records_46737_00000001.jsonl", 
    "type": "Chapter", 
    "url": "https://link.springer.com/10.1007%2F978-3-0348-8323-8_3"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-8323-8_3'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-8323-8_3'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-8323-8_3'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-8323-8_3'


 

This table displays all metadata directly associated to this object as RDF triples.

126 TRIPLES      22 PREDICATES      37 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-0348-8323-8_3 schema:author N6f31d0ac5ad4474b88b94c45a45f86c4
2 schema:citation sg:pub.10.1007/978-3-0348-7701-5_2
3 sg:pub.10.1007/978-3-0348-8615-4_2
4 sg:pub.10.1007/978-3-0348-8615-4_5
5 sg:pub.10.1007/978-3-0348-8791-5
6 sg:pub.10.1007/978-3-0348-8812-7_3
7 sg:pub.10.1007/978-3-0348-8908-7
8 sg:pub.10.1007/bf01191244
9 sg:pub.10.1007/bf01194748
10 https://app.dimensions.ai/details/publication/pub.1007624556
11 https://app.dimensions.ai/details/publication/pub.1022976666
12 https://doi.org/10.1006/jfan.1998.3278
13 https://doi.org/10.1006/jfan.1999.3426
14 schema:datePublished 2001
15 schema:datePublishedReg 2001-01-01
16 schema:description In this paper we prove generalized Herglotz representation theorems for bounded upper triangular operators with nonnegative real part when the base “point” (in fact a diagonal operator) is different from 0.
17 schema:editor N5305498507fb496c883ca5e1eb97fe0a
18 schema:genre chapter
19 schema:inLanguage en
20 schema:isAccessibleForFree false
21 schema:isPartOf N532067728a1e4fc98621742f88c73c5f
22 schema:name Nonstationary Analogs of the Herglotz Representation Theorem: Realizations Centered at an Arbitrary Point
23 schema:pagination 63-87
24 schema:productId N5aad682420b24c8f985f1619e79bc2a3
25 Nb28e9a3eb563446a9c272dbd27dec1d2
26 Nee1ddb8fc2844347bd448b7b43db09f2
27 schema:publisher N412f63bfc1964687917cdb9137aea370
28 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021444169
29 https://doi.org/10.1007/978-3-0348-8323-8_3
30 schema:sdDatePublished 2019-04-16T09:01
31 schema:sdLicense https://scigraph.springernature.com/explorer/license/
32 schema:sdPublisher N049975f5f8e94f7cb30244fe576780f4
33 schema:url https://link.springer.com/10.1007%2F978-3-0348-8323-8_3
34 sgo:license sg:explorer/license/
35 sgo:sdDataset chapters
36 rdf:type schema:Chapter
37 N049975f5f8e94f7cb30244fe576780f4 schema:name Springer Nature - SN SciGraph project
38 rdf:type schema:Organization
39 N412f63bfc1964687917cdb9137aea370 schema:location Basel
40 schema:name Birkhäuser Basel
41 rdf:type schema:Organisation
42 N4fba4a22cf464d5aab1fe5b7bc5653f1 schema:familyName Dijksma
43 schema:givenName A.
44 rdf:type schema:Person
45 N5305498507fb496c883ca5e1eb97fe0a rdf:first N4fba4a22cf464d5aab1fe5b7bc5653f1
46 rdf:rest Nba4bd616a71a4e65af147f2124251b76
47 N532067728a1e4fc98621742f88c73c5f schema:isbn 978-3-0348-8323-8
48 978-3-0348-9516-3
49 schema:name Recent Advances in Operator Theory
50 rdf:type schema:Book
51 N5aad682420b24c8f985f1619e79bc2a3 schema:name doi
52 schema:value 10.1007/978-3-0348-8323-8_3
53 rdf:type schema:PropertyValue
54 N65bfe227e8d3495ab0d8b15101377ef6 rdf:first Nf1e5e6095f6e4a3f9307e36c355ae1c9
55 rdf:rest rdf:nil
56 N6f31d0ac5ad4474b88b94c45a45f86c4 rdf:first sg:person.011517101346.40
57 rdf:rest N94f76f87486d44059bce1633050893c3
58 N90b1a93e2e4c4a3da8098febbd3e739e rdf:first sg:person.012071607241.25
59 rdf:rest rdf:nil
60 N94f76f87486d44059bce1633050893c3 rdf:first sg:person.013762723211.39
61 rdf:rest N90b1a93e2e4c4a3da8098febbd3e739e
62 Nb28e9a3eb563446a9c272dbd27dec1d2 schema:name dimensions_id
63 schema:value pub.1021444169
64 rdf:type schema:PropertyValue
65 Nb9beef4857ef4a51b41e6e3c0e3ea0e3 schema:familyName Kaashoek
66 schema:givenName M. A.
67 rdf:type schema:Person
68 Nba4bd616a71a4e65af147f2124251b76 rdf:first Nb9beef4857ef4a51b41e6e3c0e3ea0e3
69 rdf:rest N65bfe227e8d3495ab0d8b15101377ef6
70 Nee1ddb8fc2844347bd448b7b43db09f2 schema:name readcube_id
71 schema:value 662b7978f98b9d4f01b35ac397fa112c05bace9056944c2d1899a4fd1480cea0
72 rdf:type schema:PropertyValue
73 Nf1e5e6095f6e4a3f9307e36c355ae1c9 schema:familyName Ran
74 schema:givenName A. C. M.
75 rdf:type schema:Person
76 sg:person.011517101346.40 schema:affiliation https://www.grid.ac/institutes/grid.7489.2
77 schema:familyName Alpay
78 schema:givenName D.
79 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011517101346.40
80 rdf:type schema:Person
81 sg:person.012071607241.25 schema:affiliation https://www.grid.ac/institutes/grid.7489.2
82 schema:familyName Peretz
83 schema:givenName Y.
84 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012071607241.25
85 rdf:type schema:Person
86 sg:person.013762723211.39 schema:affiliation https://www.grid.ac/institutes/grid.4830.f
87 schema:familyName Dijksma
88 schema:givenName A.
89 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013762723211.39
90 rdf:type schema:Person
91 sg:pub.10.1007/978-3-0348-7701-5_2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024023212
92 https://doi.org/10.1007/978-3-0348-7701-5_2
93 rdf:type schema:CreativeWork
94 sg:pub.10.1007/978-3-0348-8615-4_2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024731672
95 https://doi.org/10.1007/978-3-0348-8615-4_2
96 rdf:type schema:CreativeWork
97 sg:pub.10.1007/978-3-0348-8615-4_5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022133360
98 https://doi.org/10.1007/978-3-0348-8615-4_5
99 rdf:type schema:CreativeWork
100 sg:pub.10.1007/978-3-0348-8791-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022976666
101 https://doi.org/10.1007/978-3-0348-8791-5
102 rdf:type schema:CreativeWork
103 sg:pub.10.1007/978-3-0348-8812-7_3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028436680
104 https://doi.org/10.1007/978-3-0348-8812-7_3
105 rdf:type schema:CreativeWork
106 sg:pub.10.1007/978-3-0348-8908-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007624556
107 https://doi.org/10.1007/978-3-0348-8908-7
108 rdf:type schema:CreativeWork
109 sg:pub.10.1007/bf01191244 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038657461
110 https://doi.org/10.1007/bf01191244
111 rdf:type schema:CreativeWork
112 sg:pub.10.1007/bf01194748 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021610167
113 https://doi.org/10.1007/bf01194748
114 rdf:type schema:CreativeWork
115 https://app.dimensions.ai/details/publication/pub.1007624556 schema:CreativeWork
116 https://app.dimensions.ai/details/publication/pub.1022976666 schema:CreativeWork
117 https://doi.org/10.1006/jfan.1998.3278 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047954570
118 rdf:type schema:CreativeWork
119 https://doi.org/10.1006/jfan.1999.3426 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015180720
120 rdf:type schema:CreativeWork
121 https://www.grid.ac/institutes/grid.4830.f schema:alternateName University of Groningen
122 schema:name Department of Mathematics, University of Groningen, POB 800, 9700 AV, Groningen, The Netherlands
123 rdf:type schema:Organization
124 https://www.grid.ac/institutes/grid.7489.2 schema:alternateName Ben-Gurion University of the Negev
125 schema:name Department of Mathematics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel
126 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...