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Linearization and compactness

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Jaramillo J., Prieto Á., Zalduendo I.

Studia Mathematica

2009

tom 191

nr 2

181-200

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.

Ograniczanie wyników

1 Studia Mathematica

1 Jaramillo J.

1 Prieto Á.

1 Zalduendo I.

1 2009

Wyniki wyszukiwania

Linearization and compactness