1998
AUTHORS ABSTRACTContractive linear relations in Hilbert spaces are (graphs of) operators, but in spaces with an indefinite metric this is not always true. The presence of a multivalued part gives difficulties in the characterization of maximal contractive linear relations and in the proof of the existence of invariant subspaces. These topics are considered in this note. More... »
PAGES19-51
Recent Progress in Operator Theory
ISBN
978-3-0348-9776-1
978-3-0348-8793-9
http://scigraph.springernature.com/pub.10.1007/978-3-0348-8793-9_2
DOIhttp://dx.doi.org/10.1007/978-3-0348-8793-9_2
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1027507515
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": "Voronezh State University",
"id": "https://www.grid.ac/institutes/grid.20567.36",
"name": [
"Department of Mathematics, Voronezh State University, Universitetskaja pl., 1, 394693, Voronezh, Russia"
],
"type": "Organization"
},
"familyName": "Azizov",
"givenName": "T. Ya",
"id": "sg:person.012640546265.41",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012640546265.41"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "University of Groningen",
"id": "https://www.grid.ac/institutes/grid.4830.f",
"name": [
"Department of Mathematics, University of Groningen, P.O. Box 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"
}
],
"citation": [
{
"id": "sg:pub.10.1007/978-3-0348-8575-1_4",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1004391438",
"https://doi.org/10.1007/978-3-0348-8575-1_4"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-0348-8575-1_4",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1004391438",
"https://doi.org/10.1007/978-3-0348-8575-1_4"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-642-65567-8",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1011407145",
"https://doi.org/10.1007/978-3-642-65567-8"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-642-65567-8",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1011407145",
"https://doi.org/10.1007/978-3-642-65567-8"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-1-4612-0967-6_24",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1014753019",
"https://doi.org/10.1007/978-1-4612-0967-6_24"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-1-4612-0967-6_24",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1014753019",
"https://doi.org/10.1007/978-1-4612-0967-6_24"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1006/jfan.1996.2992",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1015111391"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01302935",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1023851554",
"https://doi.org/10.1007/bf01302935"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01302935",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1023851554",
"https://doi.org/10.1007/bf01302935"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/mana.19931610110",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1025837130"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-0348-7701-5_5",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1026233832",
"https://doi.org/10.1007/978-3-0348-7701-5_5"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/mana.19931620119",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1026593784"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-0348-9278-0_2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1028645172",
"https://doi.org/10.1007/978-3-0348-9278-0_2"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.4171/zaa/686",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1072322748"
],
"type": "CreativeWork"
}
],
"datePublished": "1998",
"datePublishedReg": "1998-01-01",
"description": "Contractive linear relations in Hilbert spaces are (graphs of) operators, but in spaces with an indefinite metric this is not always true. The presence of a multivalued part gives difficulties in the characterization of maximal contractive linear relations and in the proof of the existence of invariant subspaces. These topics are considered in this note.",
"editor": [
{
"familyName": "Gohberg",
"givenName": "I.",
"type": "Person"
},
{
"familyName": "Mennicken",
"givenName": "R.",
"type": "Person"
},
{
"familyName": "Tretter",
"givenName": "C.",
"type": "Person"
}
],
"genre": "chapter",
"id": "sg:pub.10.1007/978-3-0348-8793-9_2",
"inLanguage": [
"en"
],
"isAccessibleForFree": false,
"isPartOf": {
"isbn": [
"978-3-0348-9776-1",
"978-3-0348-8793-9"
],
"name": "Recent Progress in Operator Theory",
"type": "Book"
},
"name": "Contractive linear relations in Pontryagin spaces",
"pagination": "19-51",
"productId": [
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1027507515"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/978-3-0348-8793-9_2"
]
},
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"8309c88d5a64061ca003ca1f489311bffc882906868317d98bf52b91e0c0df18"
]
}
],
"publisher": {
"location": "Basel",
"name": "Birkh\u00e4user Basel",
"type": "Organisation"
},
"sameAs": [
"https://doi.org/10.1007/978-3-0348-8793-9_2",
"https://app.dimensions.ai/details/publication/pub.1027507515"
],
"sdDataset": "chapters",
"sdDatePublished": "2019-04-16T09:21",
"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/v90/0000000371_0000000371/records_130829_00000002.jsonl",
"type": "Chapter",
"url": "https://link.springer.com/10.1007%2F978-3-0348-8793-9_2"
}
]
Download the RDF metadata as: json-ld nt turtle xml License info
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.10.1007/978-3-0348-8793-9_2'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-8793-9_2'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-8793-9_2'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-8793-9_2'
This table displays all metadata directly associated to this object as RDF triples.
121 TRIPLES
23 PREDICATES
37 URIs
20 LITERALS
8 BLANK NODES