Examples concerning heredity problems of WCG Banach spaces
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- by Spiros A. Argyros and Sophocles Mercourakis PDF
- Proc. Amer. Math. Soc. 133 (2005), 773-785 Request permission
Abstract:
We present two examples of WCG spaces that are not hereditarily WCG. The first is a space with an unconditional basis, and the second is a space $X$ such that $X^{**}$ is WCG and $X^{**}$ does not contain $\ell ^1$. The non-WCG subspace $Y$ of $X$ has the additional property that $Y^{**}$ is not WCG and $X/Y$ is reflexive.References
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Additional Information
- Spiros A. Argyros
- Affiliation: Department of Mathematics, National Technical University of Athens, Athens 15780, Greece
- MR Author ID: 26995
- Email: sargyros@math.ntua.gr
- Sophocles Mercourakis
- Affiliation: Department of Mathematics, University of Athens, Athens 15784, Greece
- Email: smercour@math.uoa.gr
- Received by editor(s): July 16, 2003
- Received by editor(s) in revised form: October 23, 2003
- Published electronically: August 20, 2004
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 773-785
- MSC (2000): Primary 46B20, 46B26, 03E05
- DOI: https://doi.org/10.1090/S0002-9939-04-07532-X
- MathSciNet review: 2113927