Norm-attaining polynomials and differentiability.

We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Frechet differentiable: We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach...

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Bibliographic Details
Author: Ferrera Cuesta, Juan
Format: article
Publication Date:2002
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/57243
Online Access:https://hdl.handle.net/20.500.14352/57243
Access Level:Open access
Keyword:517.986.6
517.518.45
Banach spaces
Polynomials
Norm differentiability
Shmul'yans's test
Strongly attains its norm
Fréchet differentiability
Gâteaux differentiability
Análisis matemático
1202 Análisis y Análisis Funcional
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oai_identifier_str oai:docta.ucm.es:20.500.14352/57243
network_acronym_str ES
network_name_str España
repository_id_str
spelling Norm-attaining polynomials and differentiability.Ferrera Cuesta, Juan517.986.6517.518.45Banach spacesPolynomialsNorm differentiabilityShmul'yans's testStrongly attains its normFréchet differentiabilityGâteaux differentiabilityAnálisis matemático1202 Análisis y Análisis FuncionalWe give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Frechet differentiable: We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach spaces.Polish Acad Sciencies Inst MathematicsUniversidad Complutense de Madrid20022002-01-0120022002-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/57243reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/572432026-06-02T12:44:21Z
dc.title.none.fl_str_mv Norm-attaining polynomials and differentiability.
title Norm-attaining polynomials and differentiability.
spellingShingle Norm-attaining polynomials and differentiability.
Ferrera Cuesta, Juan
517.986.6
517.518.45
Banach spaces
Polynomials
Norm differentiability
Shmul'yans's test
Strongly attains its norm
Fréchet differentiability
Gâteaux differentiability
Análisis matemático
1202 Análisis y Análisis Funcional
title_short Norm-attaining polynomials and differentiability.
title_full Norm-attaining polynomials and differentiability.
title_fullStr Norm-attaining polynomials and differentiability.
title_full_unstemmed Norm-attaining polynomials and differentiability.
title_sort Norm-attaining polynomials and differentiability.
dc.creator.none.fl_str_mv Ferrera Cuesta, Juan
author Ferrera Cuesta, Juan
author_facet Ferrera Cuesta, Juan
author_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.986.6
517.518.45
Banach spaces
Polynomials
Norm differentiability
Shmul'yans's test
Strongly attains its norm
Fréchet differentiability
Gâteaux differentiability
Análisis matemático
1202 Análisis y Análisis Funcional
topic 517.986.6
517.518.45
Banach spaces
Polynomials
Norm differentiability
Shmul'yans's test
Strongly attains its norm
Fréchet differentiability
Gâteaux differentiability
Análisis matemático
1202 Análisis y Análisis Funcional
description We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Frechet differentiable: We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach spaces.
publishDate 2002
dc.date.none.fl_str_mv 2002
2002-01-01
2002
2002-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/57243
url https://hdl.handle.net/20.500.14352/57243
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Polish Acad Sciencies Inst Mathematics
publisher.none.fl_str_mv Polish Acad Sciencies Inst Mathematics
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869425225526935552
score 15.301603

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