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Título:
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A strict topology on Orlicz spaces
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Autores:
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Akbarbaglu, Ibrahim ;
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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Wiley-Blackwell, 2015-04
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas
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Tipo = Artículo
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Resumen:
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Let ? be a Young function, ? be a locally compact space, and ? be a positive Radon measure on ?. We consider a strict topology ?? (in the sense of Sentilles-Taylor) on the Orlicz function space M?(?) and investigate various properties of this locally convex topology. We also study the Orlicz space M?(G) of a locally compact group G with a left Haar measure under the strict topology ?? and certain other natural locally convex topologies. Finally we present some results on various continuity properties of convolution operators on M?(G) under the ?? topology and other natural ones
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