Boundaries of Asplund spaces

B. Cascales; V. P. Fonf; J. Orihuela; S. Troyanski

doi:10.1016/j.jfa.2010.04.010

Boundaries of Asplund spaces

B. Cascales
, V. P. Fonf
, J. Orihuela
, S. Troyanski

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We study the relationship between the classical combinatorial inequalities of Simons and the more recent (I)-property of Fonf and Lindenstrauss. We obtain a characterization of strong boundaries for Asplund spaces using the new concept of finitely self-predictable set. Strong properties for w*-K-analytic boundaries are established as well as a sup-lim*sup theorem for Baire maps.

Original language	English
Pages (from-to)	1346-1368
Number of pages	23
Journal	Journal of Functional Analysis
Volume	259
Issue number	6
DOIs	https://doi.org/10.1016/j.jfa.2010.04.010
State	Published - 1 Sep 2010

Keywords

Asplund spaces
Banach spaces
James boundary

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2010.04.010

Cite this

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title = "Boundaries of Asplund spaces",

abstract = "We study the relationship between the classical combinatorial inequalities of Simons and the more recent (I)-property of Fonf and Lindenstrauss. We obtain a characterization of strong boundaries for Asplund spaces using the new concept of finitely self-predictable set. Strong properties for w*-K-analytic boundaries are established as well as a sup-lim*sup theorem for Baire maps.",

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AU - Fonf, V. P.

AU - Orihuela, J.

AU - Troyanski, S.

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Y1 - 2010/9/1

N2 - We study the relationship between the classical combinatorial inequalities of Simons and the more recent (I)-property of Fonf and Lindenstrauss. We obtain a characterization of strong boundaries for Asplund spaces using the new concept of finitely self-predictable set. Strong properties for w*-K-analytic boundaries are established as well as a sup-lim*sup theorem for Baire maps.

AB - We study the relationship between the classical combinatorial inequalities of Simons and the more recent (I)-property of Fonf and Lindenstrauss. We obtain a characterization of strong boundaries for Asplund spaces using the new concept of finitely self-predictable set. Strong properties for w*-K-analytic boundaries are established as well as a sup-lim*sup theorem for Baire maps.

KW - Asplund spaces

KW - Banach spaces

KW - James boundary

UR - https://www.scopus.com/pages/publications/77954144595

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DO - 10.1016/j.jfa.2010.04.010

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SP - 1346

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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

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ER -

Boundaries of Asplund spaces

Abstract

Keywords

ASJC Scopus subject areas

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