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ISSN 1088-6826(e) ISSN 0002-9939(p)

Examples concerning heredity problems of WCG Banach spaces

Author(s): Spiros A. Argyros; Sophocles Mercourakis
Journal: Proc. Amer. Math. Soc. 133 (2005), 773-785.
MSC (2000): Primary 46B20, 46B26, 03E05
Posted: August 20, 2004
MathSciNet review: 2113927
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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 such that $X^{**}$ is WCG and $X^{**}$ does not contain $\ell^1$ . The non-WCG subspace of has the additional property that $Y^{**}$ is not WCG and is reflexive.

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