Krein-Langer Factorizations via Pole Triples View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2003-10

AUTHORS

Vladimir Bolotnikov, Leiba Rodman

ABSTRACT

A theorem by Krein and Langer asserts existence of factorizations of special type for operator functions in a generalized Schur class, i. e., meromorphic operator functions defined on the unit disk and such that their Nevanlinna-Pick kernel has a fixed finite number of negative squares. A different view and proof of this theorem are presented, based on description of pole data of meromorphic operator functions in terms of pole pairs and pole triples. A criterion for existence, and a parametrization, of operator functions in a generalized Schur class with given pole triple is obtained. More... »

PAGES

169-195

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00020-002-1158-z

DOI

http://dx.doi.org/10.1007/s00020-002-1158-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1018938546


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", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "College of William & Mary", 
          "id": "https://www.grid.ac/institutes/grid.264889.9", 
          "name": [
            "Department of Mathematics, The College of William and Mary, 23187-8795, Williamsburg, VA, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Bolotnikov", 
        "givenName": "Vladimir", 
        "id": "sg:person.01130533744.43", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01130533744.43"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "College of William & Mary", 
          "id": "https://www.grid.ac/institutes/grid.264889.9", 
          "name": [
            "Department of Mathematics, The College of William and Mary, 23187-8795, Williamsburg, VA, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Rodman", 
        "givenName": "Leiba", 
        "id": "sg:person.0727056254.14", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0727056254.14"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2003-10", 
    "datePublishedReg": "2003-10-01", 
    "description": "A theorem by Krein and Langer asserts existence of factorizations of special type for operator functions in a generalized Schur class, i. e., meromorphic operator functions defined on the unit disk and such that their Nevanlinna-Pick kernel has a fixed finite number of negative squares. A different view and proof of this theorem are presented, based on description of pole data of meromorphic operator functions in terms of pole pairs and pole triples. A criterion for existence, and a parametrization, of operator functions in a generalized Schur class with given pole triple is obtained.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s00020-002-1158-z", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136245", 
        "issn": [
          "0378-620X", 
          "1420-8989"
        ], 
        "name": "Integral Equations and Operator Theory", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "47"
      }
    ], 
    "name": "Krein-Langer Factorizations via Pole Triples", 
    "pagination": "169-195", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "5a3c3bf89a7e0363f283684aa34b5d2e20ba707502aa1730e1fa8f7e8f604555"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00020-002-1158-z"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1018938546"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00020-002-1158-z", 
      "https://app.dimensions.ai/details/publication/pub.1018938546"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T23:20", 
    "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/v90/0000000001_0000000264/records_8693_00000495.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/s00020-002-1158-z"
  }
]
 

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/s00020-002-1158-z'

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/s00020-002-1158-z'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00020-002-1158-z'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00020-002-1158-z'


 

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

68 TRIPLES      20 PREDICATES      27 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00020-002-1158-z schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N9657427705cb4b968df8011bf9d00e21
4 schema:datePublished 2003-10
5 schema:datePublishedReg 2003-10-01
6 schema:description A theorem by Krein and Langer asserts existence of factorizations of special type for operator functions in a generalized Schur class, i. e., meromorphic operator functions defined on the unit disk and such that their Nevanlinna-Pick kernel has a fixed finite number of negative squares. A different view and proof of this theorem are presented, based on description of pole data of meromorphic operator functions in terms of pole pairs and pole triples. A criterion for existence, and a parametrization, of operator functions in a generalized Schur class with given pole triple is obtained.
7 schema:genre research_article
8 schema:inLanguage en
9 schema:isAccessibleForFree false
10 schema:isPartOf N800fe5dcb6f9486ea9bb6e0b21a44e8a
11 Nd5c47e6709e74ac4bb424363e402355f
12 sg:journal.1136245
13 schema:name Krein-Langer Factorizations via Pole Triples
14 schema:pagination 169-195
15 schema:productId N6bb575b2d610453aa104b37b61fa89dc
16 Nbb6d6fbf250c4b9a84972d5f21c57464
17 Nfc7225063fc64fdf8f5f74d375d454ac
18 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018938546
19 https://doi.org/10.1007/s00020-002-1158-z
20 schema:sdDatePublished 2019-04-10T23:20
21 schema:sdLicense https://scigraph.springernature.com/explorer/license/
22 schema:sdPublisher Nf6e2185d0de5454586c0eea922e9e950
23 schema:url http://link.springer.com/10.1007/s00020-002-1158-z
24 sgo:license sg:explorer/license/
25 sgo:sdDataset articles
26 rdf:type schema:ScholarlyArticle
27 N3b8a5a44aa26497b8ad33dfc56cc56ba rdf:first sg:person.0727056254.14
28 rdf:rest rdf:nil
29 N6bb575b2d610453aa104b37b61fa89dc schema:name readcube_id
30 schema:value 5a3c3bf89a7e0363f283684aa34b5d2e20ba707502aa1730e1fa8f7e8f604555
31 rdf:type schema:PropertyValue
32 N800fe5dcb6f9486ea9bb6e0b21a44e8a schema:volumeNumber 47
33 rdf:type schema:PublicationVolume
34 N9657427705cb4b968df8011bf9d00e21 rdf:first sg:person.01130533744.43
35 rdf:rest N3b8a5a44aa26497b8ad33dfc56cc56ba
36 Nbb6d6fbf250c4b9a84972d5f21c57464 schema:name doi
37 schema:value 10.1007/s00020-002-1158-z
38 rdf:type schema:PropertyValue
39 Nd5c47e6709e74ac4bb424363e402355f schema:issueNumber 2
40 rdf:type schema:PublicationIssue
41 Nf6e2185d0de5454586c0eea922e9e950 schema:name Springer Nature - SN SciGraph project
42 rdf:type schema:Organization
43 Nfc7225063fc64fdf8f5f74d375d454ac schema:name dimensions_id
44 schema:value pub.1018938546
45 rdf:type schema:PropertyValue
46 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
47 schema:name Mathematical Sciences
48 rdf:type schema:DefinedTerm
49 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
50 schema:name Pure Mathematics
51 rdf:type schema:DefinedTerm
52 sg:journal.1136245 schema:issn 0378-620X
53 1420-8989
54 schema:name Integral Equations and Operator Theory
55 rdf:type schema:Periodical
56 sg:person.01130533744.43 schema:affiliation https://www.grid.ac/institutes/grid.264889.9
57 schema:familyName Bolotnikov
58 schema:givenName Vladimir
59 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01130533744.43
60 rdf:type schema:Person
61 sg:person.0727056254.14 schema:affiliation https://www.grid.ac/institutes/grid.264889.9
62 schema:familyName Rodman
63 schema:givenName Leiba
64 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0727056254.14
65 rdf:type schema:Person
66 https://www.grid.ac/institutes/grid.264889.9 schema:alternateName College of William & Mary
67 schema:name Department of Mathematics, The College of William and Mary, 23187-8795, Williamsburg, VA, USA
68 rdf:type schema:Organization
 




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


...