Skipped Blocking and other Decompositions in Banach spaces

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Necessary and sufficient conditions are given for when a sequence of finite dimensional subspaces (X_n) can be blocked to be a skipped blocking decompositon (SBD). These are very similar to known results about blocking of biorthogonal sequences. A separable space $X$ has PCP, if and only if, every norming decomposition (X_n) can be blocked to be a boundedly complete SBD. Every boundedly complete SBD is a JT-decomposition.
11 pages, 0 figures

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Functional Analysis, 46B20 (Primary); 46B15, 46B22 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/72072

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408004
 http://arxiv.org/abs/math/0408004

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arXiv