Locally uniformly rotund norms

Publication:
Locally uniformly rotund norms

dc.contributor.author	Raja Baño, Matías
dc.contributor.department	Matemáticas
dc.date.accessioned	2024-02-20T07:55:24Z
dc.date.available	2024-02-20T07:55:24Z
dc.date.issued	1999
dc.description	Acceso restringido
dc.description.abstract	Given a Banach space X and a norming subspace Z subset of X, a geometrical method is introduced to characterize the existence of an equivalent sigma(X, Z)-lsc LUR norm on X. A new simple proof of the Theorem of Troyanski: every rotund space with a Kadec norm is LUR renormable, and a generalization of the Moltó, Orihuela and Troyanski characterization of the LUR renormability, are provided without probability arguments. Among other applications, it is shown that a dual Banach space with a w-Kadec norm admits a dual LUR norm.	es
dc.format	application/pdf	es
dc.format.extent	16	es
dc.identifier.citation	Mathematika, 46 (1999), 343-358
dc.identifier.doi	https://doi.org/10.1112/S0025579300007816
dc.identifier.issn	Print: 0025-5793
dc.identifier.issn	Electronic: 2041-7942
dc.identifier.uri	http://hdl.handle.net/10201/139521
dc.language	eng	es
dc.publisher	Wiley
dc.publisher	London Mathematical Society
dc.relation	Research supported by the DGICYT PB 95-1025 and FPI grant of the CARM.	es
dc.rights	info:eu-repo/semantics/openAccess	es
dc.subject	Locally uniformly convex norm	en
dc.subject	Renorming	en
dc.subject	Banach spaces	en
dc.title	Locally uniformly rotund norms	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es