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Título:
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Linearization and compactness
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Autores:
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Jaramillo Aguado, Jesús Ángel ;
Prieto Yerro, M. Ángeles ;
Zalduendo, Ignacio
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Tipo de documento:
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texto impreso
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Editorial:
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Polish acad sciences inst mathematics, 2009
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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This paper is devoted to several questions concerning linearizations of function spaces. We first consider the relation between linearizations of a given space when it is viewed as a function space over different domains. Then we study the problem of characterizing when a Banach function space admits a Banach linearization in a natural way. Finally, we consider the relevance of compactness properties in linearizations, more precisely, the relation between different compactness properties of a mapping, and compactness of its associated linear operator.
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