Skipped Blocking and other Decompositions in Banach spaces
Abstract
Necessary and sufficient conditions are given for when a sequence of finite dimensional subspaces (Xn) 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 (Xn) can be blocked to be a boundedly complete SBD. Every boundedly complete SBD is a JT-decomposition.
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