Ontology type: schema:ScholarlyArticle
2020-03-16
AUTHORSGustavo Araújo, Per H. Enflo, Gustavo A. Muñoz-Fernández, Daniel L. Rodríguez-Vidanes, Juan B. Seoane-Sepúlveda
ABSTRACTWhen for the first time, in 1987, a Banach space X and a bounded operator T: X → X without nontrivial invariant subspaces was constructed, one of the many tools used was a series of estimates on the norm of a product of polynomials. Here, we continue this study of estimates on the norm of a product of polynomials by, on the one hand, extending some results due to Beauzamy and Enflo and, on the other, observing that an inequality by Borwein and Erdelyi holds in a more general context. More... »
PAGES727-745
http://scigraph.springernature.com/pub.10.1007/s11856-020-1987-y
DOIhttp://dx.doi.org/10.1007/s11856-020-1987-y
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1125682124
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/2008/01",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Mathematical Sciences",
"type": "DefinedTerm"
},
{
"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/2008/0102",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Applied Mathematics",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "Departamento de Matem\u00e1tica, Universidade Estadual da Para\u00edba, Campina Grande, 58.429-500, Para\u00edba, Brazil",
"id": "http://www.grid.ac/institutes/grid.412307.3",
"name": [
"Departamento de Matem\u00e1tica, Universidade Estadual da Para\u00edba, Campina Grande, 58.429-500, Para\u00edba, Brazil"
],
"type": "Organization"
},
"familyName": "Ara\u00fajo",
"givenName": "Gustavo",
"id": "sg:person.015407621445.63",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015407621445.63"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Mathematical Sciences, Kent State University, 44242, Kent, Ohio, USA",
"id": "http://www.grid.ac/institutes/grid.258518.3",
"name": [
"Department of Mathematical Sciences, Kent State University, 44242, Kent, Ohio, USA"
],
"type": "Organization"
},
"familyName": "Enflo",
"givenName": "Per H.",
"id": "sg:person.01207774434.48",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01207774434.48"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Facultad de Ciencias Matem\u00e1ticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain",
"id": "http://www.grid.ac/institutes/grid.4795.f",
"name": [
"Instituto de Matem\u00e1tica Interdisciplinar (IMI), Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain",
"Departamento de An\u00e1lisis Matem\u00e1tico y Matem\u00e1tica Aplicada, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain",
"Facultad de Ciencias Matem\u00e1ticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain"
],
"type": "Organization"
},
"familyName": "Mu\u00f1oz-Fern\u00e1ndez",
"givenName": "Gustavo A.",
"id": "sg:person.012072345551.25",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012072345551.25"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Facultad de Ciencias Matem\u00e1ticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain",
"id": "http://www.grid.ac/institutes/grid.4795.f",
"name": [
"Departamento de An\u00e1lisis Matem\u00e1tico y Matem\u00e1tica Aplicada, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain",
"Facultad de Ciencias Matem\u00e1ticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain"
],
"type": "Organization"
},
"familyName": "Rodr\u00edguez-Vidanes",
"givenName": "Daniel L.",
"id": "sg:person.011740617673.11",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011740617673.11"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Facultad de Ciencias Matem\u00e1ticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain",
"id": "http://www.grid.ac/institutes/grid.4795.f",
"name": [
"Instituto de Matem\u00e1tica Interdisciplinar (IMI), Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain",
"Departamento de An\u00e1lisis Matem\u00e1tico y Matem\u00e1tica Aplicada, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain",
"Facultad de Ciencias Matem\u00e1ticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain"
],
"type": "Organization"
},
"familyName": "Seoane-Sep\u00falveda",
"givenName": "Juan B.",
"id": "sg:person.010556465327.43",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010556465327.43"
],
"type": "Person"
}
],
"citation": [
{
"id": "sg:pub.10.1007/s11856-015-1264-7",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1014118657",
"https://doi.org/10.1007/s11856-015-1264-7"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf02392260",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1031071123",
"https://doi.org/10.1007/bf02392260"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/11551621",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1034530774",
"https://doi.org/10.1007/11551621"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01389625",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1051476917",
"https://doi.org/10.1007/bf01389625"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-1-4612-0793-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1014131321",
"https://doi.org/10.1007/978-1-4612-0793-1"
],
"type": "CreativeWork"
}
],
"datePublished": "2020-03-16",
"datePublishedReg": "2020-03-16",
"description": "When for the first time, in 1987, a Banach space X and a bounded operator T: X \u2192 X without nontrivial invariant subspaces was constructed, one of the many tools used was a series of estimates on the norm of a product of polynomials. Here, we continue this study of estimates on the norm of a product of polynomials by, on the one hand, extending some results due to Beauzamy and Enflo and, on the other, observing that an inequality by Borwein and Erdelyi holds in a more general context.",
"genre": "article",
"id": "sg:pub.10.1007/s11856-020-1987-y",
"inLanguage": "en",
"isAccessibleForFree": false,
"isPartOf": [
{
"id": "sg:journal.1136632",
"issn": [
"0021-2172",
"1565-8511"
],
"name": "Israel Journal of Mathematics",
"publisher": "Springer Nature",
"type": "Periodical"
},
{
"issueNumber": "2",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "236"
}
],
"keywords": [
"products of polynomials",
"Banach space X",
"space X",
"operator T",
"nontrivial invariant subspace",
"invariant subspaces",
"study of estimates",
"norms of products",
"series of estimates",
"polynomials",
"general context",
"qualitative estimates",
"first time",
"subspace",
"estimates",
"norms",
"study",
"Beauzamy",
"Enflo",
"inequality",
"Borwein",
"Erdelyi",
"time",
"tool",
"series",
"products",
"hand",
"results",
"context"
],
"name": "Quantitative and qualitative estimates on the norm of products of polynomials",
"pagination": "727-745",
"productId": [
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1125682124"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/s11856-020-1987-y"
]
}
],
"sameAs": [
"https://doi.org/10.1007/s11856-020-1987-y",
"https://app.dimensions.ai/details/publication/pub.1125682124"
],
"sdDataset": "articles",
"sdDatePublished": "2022-05-10T10:28",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-springernature-scigraph/baseset/20220509/entities/gbq_results/article/article_869.jsonl",
"type": "ScholarlyArticle",
"url": "https://doi.org/10.1007/s11856-020-1987-y"
}
]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/s11856-020-1987-y'
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/s11856-020-1987-y'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11856-020-1987-y'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11856-020-1987-y'
This table displays all metadata directly associated to this object as RDF triples.
147 TRIPLES
22 PREDICATES
60 URIs
46 LITERALS
6 BLANK NODES