Weakly Compact Generating and Shrinking Markusevic Bases
Serdica Mathematical Journal, Tome 32 (2006) no. 4, pp. 277-288
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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.
Keywords:
Weakly Compactly Generated Spaces, Shrinking Markusevic Bases, Eberlein Compacta
@article{SMJ2_2006_32_4_a0,
author = {Fabian, M. and H\'ajek, P. and Montesinos, V. and Zizler, V.},
title = {Weakly {Compact} {Generating} and {Shrinking} {Markusevic} {Bases}},
journal = {Serdica Mathematical Journal},
pages = {277--288},
publisher = {mathdoc},
volume = {32},
number = {4},
year = {2006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2006_32_4_a0/}
}
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 SP - 277 EP - 288 VL - 32 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SMJ2_2006_32_4_a0/ LA - en ID - SMJ2_2006_32_4_a0 ER -
Fabian, M.; Hájek, P.; Montesinos, V.; Zizler, V. Weakly Compact Generating and Shrinking Markusevic Bases. Serdica Mathematical Journal, Tome 32 (2006) no. 4, pp. 277-288. http://geodesic.mathdoc.fr/item/SMJ2_2006_32_4_a0/