Compactness Properties of Positive Operators View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2006

AUTHORS

Charalambos D. Aliprantis , Owen Burkinshaw

ABSTRACT

A compact operator sends an arbitrary norm bounded sequence to a sequence with a norm convergent subsequence. For this reason, when operators are associated with integral equations, the compact operators are the most desirable. Besides being compact, an operator with some type of compactness is more useful than an arbitrary operator. More... »

PAGES

273-357

Book

TITLE

Positive Operators

ISBN

978-1-4020-5007-7
978-1-4020-5008-4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4020-5008-4_5

DOI

http://dx.doi.org/10.1007/978-1-4020-5008-4_5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1035105978


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": "Purdue University", 
          "id": "https://www.grid.ac/institutes/grid.169077.e", 
          "name": [
            "Purdue University, West Lafayette, U.S.A."
          ], 
          "type": "Organization"
        }, 
        "familyName": "Aliprantis", 
        "givenName": "Charalambos D.", 
        "id": "sg:person.014135050231.02", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014135050231.02"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Indiana University \u2013 Purdue University Indianapolis", 
          "id": "https://www.grid.ac/institutes/grid.257413.6", 
          "name": [
            "IUPUI, Indianapolis, U.S.A."
          ], 
          "type": "Organization"
        }, 
        "familyName": "Burkinshaw", 
        "givenName": "Owen", 
        "id": "sg:person.011747227346.83", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011747227346.83"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2006", 
    "datePublishedReg": "2006-01-01", 
    "description": "A compact operator sends an arbitrary norm bounded sequence to a sequence with a norm convergent subsequence. For this reason, when operators are associated with integral equations, the compact operators are the most desirable. Besides being compact, an operator with some type of compactness is more useful than an arbitrary operator.", 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-1-4020-5008-4_5", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-1-4020-5007-7", 
        "978-1-4020-5008-4"
      ], 
      "name": "Positive Operators", 
      "type": "Book"
    }, 
    "name": "Compactness Properties of Positive Operators", 
    "pagination": "273-357", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-1-4020-5008-4_5"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "a73b8ec803ec5e80fc4cc28f00923b448356dc3a9609bb78c691480d5525c14c"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1035105978"
        ]
      }
    ], 
    "publisher": {
      "location": "Dordrecht", 
      "name": "Springer Netherlands", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-1-4020-5008-4_5", 
      "https://app.dimensions.ai/details/publication/pub.1035105978"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T13:16", 
    "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_8664_00000060.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-1-4020-5008-4_5"
  }
]
 

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.10.1007/978-1-4020-5008-4_5'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-1-4020-5008-4_5'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-1-4020-5008-4_5'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-1-4020-5008-4_5'


 

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

69 TRIPLES      21 PREDICATES      26 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-1-4020-5008-4_5 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N759c653ab80b4c81966620aa693605d8
4 schema:datePublished 2006
5 schema:datePublishedReg 2006-01-01
6 schema:description A compact operator sends an arbitrary norm bounded sequence to a sequence with a norm convergent subsequence. For this reason, when operators are associated with integral equations, the compact operators are the most desirable. Besides being compact, an operator with some type of compactness is more useful than an arbitrary operator.
7 schema:genre chapter
8 schema:inLanguage en
9 schema:isAccessibleForFree false
10 schema:isPartOf Nc27a6e42f2eb484ea19960e9bdc00fc2
11 schema:name Compactness Properties of Positive Operators
12 schema:pagination 273-357
13 schema:productId N8d6ad54b9c374fd19ca646f13dc5f825
14 N9cea002b48cd4dc09fb017e681a62182
15 Nd3776a516bca4a8491f4a7a590228d64
16 schema:publisher N3ac553a214394606bf6704836c218517
17 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035105978
18 https://doi.org/10.1007/978-1-4020-5008-4_5
19 schema:sdDatePublished 2019-04-15T13:16
20 schema:sdLicense https://scigraph.springernature.com/explorer/license/
21 schema:sdPublisher N749ac39a88264850bd1fe28b0a12973a
22 schema:url http://link.springer.com/10.1007/978-1-4020-5008-4_5
23 sgo:license sg:explorer/license/
24 sgo:sdDataset chapters
25 rdf:type schema:Chapter
26 N3ac553a214394606bf6704836c218517 schema:location Dordrecht
27 schema:name Springer Netherlands
28 rdf:type schema:Organisation
29 N4b24a8a1ea6b42cc9f0aae9376dac17e rdf:first sg:person.011747227346.83
30 rdf:rest rdf:nil
31 N749ac39a88264850bd1fe28b0a12973a schema:name Springer Nature - SN SciGraph project
32 rdf:type schema:Organization
33 N759c653ab80b4c81966620aa693605d8 rdf:first sg:person.014135050231.02
34 rdf:rest N4b24a8a1ea6b42cc9f0aae9376dac17e
35 N8d6ad54b9c374fd19ca646f13dc5f825 schema:name doi
36 schema:value 10.1007/978-1-4020-5008-4_5
37 rdf:type schema:PropertyValue
38 N9cea002b48cd4dc09fb017e681a62182 schema:name dimensions_id
39 schema:value pub.1035105978
40 rdf:type schema:PropertyValue
41 Nc27a6e42f2eb484ea19960e9bdc00fc2 schema:isbn 978-1-4020-5007-7
42 978-1-4020-5008-4
43 schema:name Positive Operators
44 rdf:type schema:Book
45 Nd3776a516bca4a8491f4a7a590228d64 schema:name readcube_id
46 schema:value a73b8ec803ec5e80fc4cc28f00923b448356dc3a9609bb78c691480d5525c14c
47 rdf:type schema:PropertyValue
48 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
49 schema:name Mathematical Sciences
50 rdf:type schema:DefinedTerm
51 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
52 schema:name Pure Mathematics
53 rdf:type schema:DefinedTerm
54 sg:person.011747227346.83 schema:affiliation https://www.grid.ac/institutes/grid.257413.6
55 schema:familyName Burkinshaw
56 schema:givenName Owen
57 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011747227346.83
58 rdf:type schema:Person
59 sg:person.014135050231.02 schema:affiliation https://www.grid.ac/institutes/grid.169077.e
60 schema:familyName Aliprantis
61 schema:givenName Charalambos D.
62 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014135050231.02
63 rdf:type schema:Person
64 https://www.grid.ac/institutes/grid.169077.e schema:alternateName Purdue University
65 schema:name Purdue University, West Lafayette, U.S.A.
66 rdf:type schema:Organization
67 https://www.grid.ac/institutes/grid.257413.6 schema:alternateName Indiana University – Purdue University Indianapolis
68 schema:name IUPUI, Indianapolis, U.S.A.
69 rdf:type schema:Organization
 




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


...