Kadec norms and Borel sets in a Banach space

M. Raja

Studia Mathematica (1999)

  • Volume: 136, Issue: 1, page 1-16
  • ISSN: 0039-3223

Abstract

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We introduce a property for a couple of topologies that allows us to give simple proofs of some classic results about Borel sets in Banach spaces by Edgar, Schachermayer and Talagrand as well as some new results. We characterize the existence of Kadec type renormings in the spirit of the new results for LUR spaces by Moltó, Orihuela and Troyanski.

How to cite

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Raja, M.. "Kadec norms and Borel sets in a Banach space." Studia Mathematica 136.1 (1999): 1-16. <http://eudml.org/doc/216658>.

@article{Raja1999,
abstract = {We introduce a property for a couple of topologies that allows us to give simple proofs of some classic results about Borel sets in Banach spaces by Edgar, Schachermayer and Talagrand as well as some new results. We characterize the existence of Kadec type renormings in the spirit of the new results for LUR spaces by Moltó, Orihuela and Troyanski.},
author = {Raja, M.},
journal = {Studia Mathematica},
keywords = {Borel sets; Countable cover by sets of local small diameter; Kadec renorming; Radon-Nikodym compact spaces; coincidence of Borel -algebras; Borel nature of a Banach space in its bidual; Kadec type norms},
language = {eng},
number = {1},
pages = {1-16},
title = {Kadec norms and Borel sets in a Banach space},
url = {http://eudml.org/doc/216658},
volume = {136},
year = {1999},
}

TY - JOUR
AU - Raja, M.
TI - Kadec norms and Borel sets in a Banach space
JO - Studia Mathematica
PY - 1999
VL - 136
IS - 1
SP - 1
EP - 16
AB - We introduce a property for a couple of topologies that allows us to give simple proofs of some classic results about Borel sets in Banach spaces by Edgar, Schachermayer and Talagrand as well as some new results. We characterize the existence of Kadec type renormings in the spirit of the new results for LUR spaces by Moltó, Orihuela and Troyanski.
LA - eng
KW - Borel sets; Countable cover by sets of local small diameter; Kadec renorming; Radon-Nikodym compact spaces; coincidence of Borel -algebras; Borel nature of a Banach space in its bidual; Kadec type norms
UR - http://eudml.org/doc/216658
ER -

References

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