On bounded approximation properties of Banach spaces

Eve Oja

Banach Center Publications (2010)

  • Volume: 91, Issue: 1, page 219-231
  • ISSN: 0137-6934

Abstract

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This survey features some recent developments concerning the bounded approximation property in Banach spaces. As a central theme, we discuss the weak bounded approximation property and the approximation property which is bounded for a Banach operator ideal. We also include an overview around the related long-standing open problem: Is the approximation property of a dual Banach space always metric?

How to cite

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Eve Oja. "On bounded approximation properties of Banach spaces." Banach Center Publications 91.1 (2010): 219-231. <http://eudml.org/doc/282164>.

@article{EveOja2010,
abstract = {This survey features some recent developments concerning the bounded approximation property in Banach spaces. As a central theme, we discuss the weak bounded approximation property and the approximation property which is bounded for a Banach operator ideal. We also include an overview around the related long-standing open problem: Is the approximation property of a dual Banach space always metric?},
author = {Eve Oja},
journal = {Banach Center Publications},
keywords = {bounded approximation property; weak bounded approximation property; Banach operator ideal},
language = {eng},
number = {1},
pages = {219-231},
title = {On bounded approximation properties of Banach spaces},
url = {http://eudml.org/doc/282164},
volume = {91},
year = {2010},
}

TY - JOUR
AU - Eve Oja
TI - On bounded approximation properties of Banach spaces
JO - Banach Center Publications
PY - 2010
VL - 91
IS - 1
SP - 219
EP - 231
AB - This survey features some recent developments concerning the bounded approximation property in Banach spaces. As a central theme, we discuss the weak bounded approximation property and the approximation property which is bounded for a Banach operator ideal. We also include an overview around the related long-standing open problem: Is the approximation property of a dual Banach space always metric?
LA - eng
KW - bounded approximation property; weak bounded approximation property; Banach operator ideal
UR - http://eudml.org/doc/282164
ER -

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