Título:
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Polynomial topologies on Banach spaces
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Autores:
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Garrido, M. Isabel ;
Jaramillo Aguado, Jesús Ángel ;
Llavona, José G.
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science, 2005-06-05
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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On every real Banach space X we introduce a locally convex topology tau(p), canonically associated to the weak-polynomial topology w(P). It is proved that tau(p) is the finest locally convex topology on X which is coarser than w(P). Furthermore, the convergence of sequences is considered, and sufficient conditions on X are obtained under which the convergent sequences for w(P) and for tau(P) either coincide with the weakly convergent sequences (when X has the Dunford-Pettis property) or coincide with the norm-convergent sequences (when X has nontrivial type).
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En línea:
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https://eprints.ucm.es/id/eprint/15509/1/02.pdf
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