Wyniki wyszukiwania

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Linearization and compactness

100%

Jaramillo J., Prieto Á., Zalduendo I.

Studia Mathematica

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2009

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tom 191

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nr 2

181-200

EN

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.

2

Integral holomorphic functions

100%

Dimant V., Galindo P., Maestre M., Zalduendo I.

Studia Mathematica

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2004

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tom 160

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nr 1

83-99

EN

We define the class of integral holomorphic functions over Banach spaces; these are functions admitting an integral representation akin to the Cauchy integral formula, and are related to integral polynomials. After studying various properties of these functions, Banach and Fréchet spaces of integral holomorphic functions are defined, and several aspects investigated: duality, Taylor series approximation, biduality and reflexivity.

3

A geometric condition equivalent to commutativity in Banach algebras

98%

Zalduendo I.

Studia Mathematica

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1989

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tom 94

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nr 2

187-192

Ograniczanie wyników

3 Studia Mathematica

3 Zalduendo I.

1 Dimant V.

1 Galindo P.

1 Jaramillo J.

1 Maestre M.

1 Prieto Á.

1 2009

1 2004

1 1989

Linearization and compactness

Integral holomorphic functions

A geometric condition equivalent to commutativity in Banach algebras