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Título:
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Hypergroup algebras as topological algebras
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Autores:
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Maghsoudi, S. ;
Seoane-Sepúlveda, Juan B.
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Tipo de documento:
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texto impreso
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Editorial:
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Cambridge University Press, 2014-12
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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: Análisis matemático
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Tipo = Artículo
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Resumen:
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Let K be a locally compact hypergroup endowed with a left Haar measure and let L1(K) be the usual Lebesgue space of K with respect to the left Haar measure. We investigate some properties of L1(K) under a locally convex topology ?1. Among other things, the semireflexivity of (L1(K),?1) and of sequentially?1-continuous functionals is studied. We also show that (L1(K),?1) with the convolution multiplication is always a complete semitopological algebra, whereas it is a topological algebra if and only if K is compact.
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En línea:
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https://eprints.ucm.es/id/eprint/29163/1/Seoane210oficial.pdf
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