The Phillips properties
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- by Walden Freedman and Ali Ülger PDF
- Proc. Amer. Math. Soc. 128 (2000), 2137-2145
Abstract:
A Banach space $X$ has the Phillips property if the canonical projection $p\colon X^{\ast \ast \ast } \rightarrow X^{\ast }$ is sequentially weak$^{\ast }$-norm continuous, and has the weak Phillips property if $p$ is sequentially weak$^{\ast }$-weak continuous. We study both properties in connection with other geometric properties, such as the Dunford-Pettis property, Pelczynski’s properties $(u)$ and (V), and the Schur property.References
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Additional Information
- Walden Freedman
- Affiliation: Department of Mathematics, College of Arts and Sciences, Koç University, 80860 Istinye, Istanbul, Turkey
- Email: wfreedman@ku.edu.tr
- Ali Ülger
- Affiliation: Department of Mathematics, College of Arts and Sciences, Koç University, 80860 Istinye, Istanbul, Turkey
- Email: aulger@ku.edu.tr
- Received by editor(s): September 7, 1998
- Published electronically: February 21, 2000
- Communicated by: Dale Alspach
- © Copyright 2000 by Walden Freedman and Ali Ülger
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2137-2145
- MSC (1991): Primary 46B20, 46B03; Secondary 46L05, 46J10
- DOI: https://doi.org/10.1090/S0002-9939-00-05703-8
- MathSciNet review: 1766719