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Linearization and compactness

Jaramillo Aguado, Jesús Ángel and Prieto Yerro, M. Ángeles and Zalduendo, Ignacio (2009) Linearization and compactness. Studia Mathematica, 191 (2). pp. 181-200. ISSN 0039-3223

Official URL: http://helios.impan.gov.pl/cgi-bin/sm/pdf?sm191-2-06

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Abstract

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.

Item Type:Article
Uncontrolled Keywords:Bounded Holomorphic Mappings; Banach-Spaces; Approximation Property; Preduals; Montel
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:16594
Deposited On:03 Oct 2012 08:24
Last Modified:03 Oct 2012 08:24

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