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P-continuity on classical Banach spaces

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dc.contributor.authorLlavona, José G.
dc.contributor.authorHájek, P.
dc.date.accessioned2023-06-20T16:56:09Z
dc.date.available2023-06-20T16:56:09Z
dc.date.issued2000-03
dc.description.abstractGiven a Banach space X and an integer n, the existence of an n-homogeneous polynomial which is not uniformly continuous with respect to the polynomial topology on B-X is investigated. We provide a complete characterization for some classical Banach spaces, while for others a surprising unresolved difficulty is encountered for a certain value of n (depending on X).
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipScholarship of The Ministry of Education and Science, Spain.
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16007
dc.identifier.doi10.1090/S0002-9939-99-05056-X
dc.identifier.issn0002-9939
dc.identifier.officialurlhttp://www.ams.org/journals/proc/2000-128-03/S0002-9939-99-05056-X/S0002-9939-99-05056-X.pdf
dc.identifier.relatedurlhttp://www.ams.org/publications/journals/journals
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57462
dc.issue.number3
dc.journal.titleProceedings of the American Mathematical Society
dc.language.isoeng
dc.page.final830
dc.page.initial827
dc.publisherAmerican Mathematical Society
dc.rights.accessRightsrestricted access
dc.subject.cdu517.5
dc.subject.keywordP-continuity
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleP-continuity on classical Banach spaces
dc.typejournal article
dc.volume.number128
dcterms.referencesR. M. Aron, Y. S. Choi and J. G. Llavona, Estimates by Polynomials, Bull. Austral. Math. Soc. 52 (1995), 475–486. J. Diestel, Sequences and series in Banach spaces, Grad. Texts in Math. 92, Springer, Berlin, 1984. J. Diestel, H. Jarchow and A. Tonge, Absolutely Summing Operators, Cambridge Univ. Press, 1996. M. González, J. M. Gutiérrez and J. G. Llavona, Polynomial continuity on1, Proc. Amer. Math. Soc. 125, no. 5 (1997), 1349–1353. J. M. Gutiérrez and J. G. Llavona, Polynomially continuous operators, Israel J. Math. 102 (1997), 179–183.
dspace.entity.typePublication

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