A note on weakly Lindelöf determined Banach spaces

A. González; Vicente Montesinos

Czechoslovak Mathematical Journal (2009)

  • Volume: 59, Issue: 3, page 613-621
  • ISSN: 0011-4642

Abstract

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We prove that weakly Lindelöf determined Banach spaces are characterized by the existence of a ``full'' projectional generator. Some other results pertaining to this class of Banach spaces are given.

How to cite

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González, A., and Montesinos, Vicente. "A note on weakly Lindelöf determined Banach spaces." Czechoslovak Mathematical Journal 59.3 (2009): 613-621. <http://eudml.org/doc/37946>.

@article{González2009,
abstract = {We prove that weakly Lindelöf determined Banach spaces are characterized by the existence of a ``full'' projectional generator. Some other results pertaining to this class of Banach spaces are given.},
author = {González, A., Montesinos, Vicente},
journal = {Czechoslovak Mathematical Journal},
keywords = {projectional generator; projectional resolution of the identity; weakly Lindelöf determined Banach space; Markushevich base; Corson compacta; projectional generator; projectional resolution of the identity; weakly Lindelöf determined Banach space; Markushevich basis; Corson compacta},
language = {eng},
number = {3},
pages = {613-621},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on weakly Lindelöf determined Banach spaces},
url = {http://eudml.org/doc/37946},
volume = {59},
year = {2009},
}

TY - JOUR
AU - González, A.
AU - Montesinos, Vicente
TI - A note on weakly Lindelöf determined Banach spaces
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 3
SP - 613
EP - 621
AB - We prove that weakly Lindelöf determined Banach spaces are characterized by the existence of a ``full'' projectional generator. Some other results pertaining to this class of Banach spaces are given.
LA - eng
KW - projectional generator; projectional resolution of the identity; weakly Lindelöf determined Banach space; Markushevich base; Corson compacta; projectional generator; projectional resolution of the identity; weakly Lindelöf determined Banach space; Markushevich basis; Corson compacta
UR - http://eudml.org/doc/37946
ER -

References

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