Approximation of holomorphic mappings on infinite dimensional spaces.

Erhan Çaliskan

Revista Matemática Complutense (2004)

  • Volume: 17, Issue: 2, page 411-434
  • ISSN: 1139-1138

Abstract

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In this article we examine necessary and sufficient conditions for the predual of the space of holomorphic mappings of bounded type, Gb(U), to have the approximation property and the compact approximation property and we consider when the predual of the space of holomorphic mappings, G(U), has the compact approximation property. We obtain also similar results for the preduals of spaces of m-homogeneous polynomials, Q(mE).

How to cite

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Çaliskan, Erhan. "Approximation of holomorphic mappings on infinite dimensional spaces.." Revista Matemática Complutense 17.2 (2004): 411-434. <http://eudml.org/doc/44528>.

@article{Çaliskan2004,
abstract = {In this article we examine necessary and sufficient conditions for the predual of the space of holomorphic mappings of bounded type, Gb(U), to have the approximation property and the compact approximation property and we consider when the predual of the space of holomorphic mappings, G(U), has the compact approximation property. We obtain also similar results for the preduals of spaces of m-homogeneous polynomials, Q(mE).},
author = {Çaliskan, Erhan},
journal = {Revista Matemática Complutense},
keywords = {Espacios de funciones holomorfas; Espacios de Banach; Espacios localmente convexos; Espacios de Fréchet; Aproximación; holomorphic mappings; holomorphic mappings of bounded type; approximation property; compact approximation property},
language = {eng},
number = {2},
pages = {411-434},
title = {Approximation of holomorphic mappings on infinite dimensional spaces.},
url = {http://eudml.org/doc/44528},
volume = {17},
year = {2004},
}

TY - JOUR
AU - Çaliskan, Erhan
TI - Approximation of holomorphic mappings on infinite dimensional spaces.
JO - Revista Matemática Complutense
PY - 2004
VL - 17
IS - 2
SP - 411
EP - 434
AB - In this article we examine necessary and sufficient conditions for the predual of the space of holomorphic mappings of bounded type, Gb(U), to have the approximation property and the compact approximation property and we consider when the predual of the space of holomorphic mappings, G(U), has the compact approximation property. We obtain also similar results for the preduals of spaces of m-homogeneous polynomials, Q(mE).
LA - eng
KW - Espacios de funciones holomorfas; Espacios de Banach; Espacios localmente convexos; Espacios de Fréchet; Aproximación; holomorphic mappings; holomorphic mappings of bounded type; approximation property; compact approximation property
UR - http://eudml.org/doc/44528
ER -

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