Complex Banach spaces with Valdivia dual unit ball.

Ondrej F. K. Kalenda

Extracta Mathematicae (2005)

  • Volume: 20, Issue: 3, page 243-259
  • ISSN: 0213-8743

Abstract

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We study the classes of complex Banach spaces with Valdivia dual unit ball. We give complex analogues of several theorems on real spaces. Further we study relationship of these complex Banach spaces with their real versions and that of real Banach spaces and their complexification. We also formulate several open problems.

How to cite

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Kalenda, Ondrej F. K.. "Complex Banach spaces with Valdivia dual unit ball.." Extracta Mathematicae 20.3 (2005): 243-259. <http://eudml.org/doc/41840>.

@article{Kalenda2005,
abstract = {We study the classes of complex Banach spaces with Valdivia dual unit ball. We give complex analogues of several theorems on real spaces. Further we study relationship of these complex Banach spaces with their real versions and that of real Banach spaces and their complexification. We also formulate several open problems.},
author = {Kalenda, Ondrej F. K.},
journal = {Extracta Mathematicae},
keywords = {Geometría y estructura de espacios de Banach; Espacio reflexivo; Espacios normados; Valdivia compact, dual unit ball, complex Banach space; Plichko Banach space},
language = {eng},
number = {3},
pages = {243-259},
title = {Complex Banach spaces with Valdivia dual unit ball.},
url = {http://eudml.org/doc/41840},
volume = {20},
year = {2005},
}

TY - JOUR
AU - Kalenda, Ondrej F. K.
TI - Complex Banach spaces with Valdivia dual unit ball.
JO - Extracta Mathematicae
PY - 2005
VL - 20
IS - 3
SP - 243
EP - 259
AB - We study the classes of complex Banach spaces with Valdivia dual unit ball. We give complex analogues of several theorems on real spaces. Further we study relationship of these complex Banach spaces with their real versions and that of real Banach spaces and their complexification. We also formulate several open problems.
LA - eng
KW - Geometría y estructura de espacios de Banach; Espacio reflexivo; Espacios normados; Valdivia compact, dual unit ball, complex Banach space; Plichko Banach space
UR - http://eudml.org/doc/41840
ER -

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