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arXiv:math/0408004 [math.FA]AbstractReferencesReviewsResources

Skipped Blocking and other Decompositions in Banach spaces

Steven F. Bellenot

Published 2004-07-31, updated 2005-02-22Version 2

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.

Comments: 11 pages, 0 figures
Categories: math.FA
Subjects: 46B20, 46B15, 46B22
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