Kadec norms and Borel sets in a Banach space

• Autorzy: M. Raja
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Borel sets; Countable cover by sets of local small diameter; Kadec renorming; Radon-Nikodym compact spaces

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B26: Nonseparable Banach spaces
• 28A05: Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 136
• Numer: 1
• Strony: 1-16

Daty

wydano

1999

otrzymano

1997-11-24

poprawiono

1998-08-07

Twórcy

autor

M. Raja

• Mathématiques Pures, Université Bordeaux 1, 351, cours de la Libération, 33405 Talence Cedex, France

Bibliografia

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