Skipped Blocking and other Decompositions in Banach spaces
Functional Analysis
2007-05-23 v2
Abstract
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 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.
Cite
@article{arxiv.math/0408004,
title = {Skipped Blocking and other Decompositions in Banach spaces},
author = {Steven F. Bellenot},
journal= {arXiv preprint arXiv:math/0408004},
year = {2007}
}
Comments
11 pages, 0 figures