paper

Skipped Blocking and other Decompositions in Banach spaces

arXiv:math/0408004

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.

11 pages, 0 figures

Skipped Blocking and other Decompositions in Banach spaces · wovepaper