Weakly Compact Generating and Shrinking Markusevic Bases

Fabian, M.; Hájek, P.; Montesinos, V.; Zizler, V.

Serdica Mathematical Journal (2006)

  • Volume: 32, Issue: 4, page 277-288
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 46B30, 46B03.It is shown that most of the well known classes of nonseparable Banach spaces related to the weakly compact generating can be characterized by elementary properties of the closure of the coefficient space of Markusevic bases for such spaces. In some cases, such property is then shared by all Markusevic bases in the space.

How to cite

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Fabian, M., et al. "Weakly Compact Generating and Shrinking Markusevic Bases." Serdica Mathematical Journal 32.4 (2006): 277-288. <http://eudml.org/doc/281479>.

@article{Fabian2006,
abstract = {2000 Mathematics Subject Classification: 46B30, 46B03.It is shown that most of the well known classes of nonseparable Banach spaces related to the weakly compact generating can be characterized by elementary properties of the closure of the coefficient space of Markusevic bases for such spaces. In some cases, such property is then shared by all Markusevic bases in the space.},
author = {Fabian, M., Hájek, P., Montesinos, V., Zizler, V.},
journal = {Serdica Mathematical Journal},
keywords = {Weakly Compactly Generated Spaces; Shrinking Markusevic Bases; Eberlein Compacta; weakly compactly generated spaces; Markushevich bases; Eberlein compacta},
language = {eng},
number = {4},
pages = {277-288},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Weakly Compact Generating and Shrinking Markusevic Bases},
url = {http://eudml.org/doc/281479},
volume = {32},
year = {2006},
}

TY - JOUR
AU - Fabian, M.
AU - Hájek, P.
AU - Montesinos, V.
AU - Zizler, V.
TI - Weakly Compact Generating and Shrinking Markusevic Bases
JO - Serdica Mathematical Journal
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 32
IS - 4
SP - 277
EP - 288
AB - 2000 Mathematics Subject Classification: 46B30, 46B03.It is shown that most of the well known classes of nonseparable Banach spaces related to the weakly compact generating can be characterized by elementary properties of the closure of the coefficient space of Markusevic bases for such spaces. In some cases, such property is then shared by all Markusevic bases in the space.
LA - eng
KW - Weakly Compactly Generated Spaces; Shrinking Markusevic Bases; Eberlein Compacta; weakly compactly generated spaces; Markushevich bases; Eberlein compacta
UR - http://eudml.org/doc/281479
ER -

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