Skipped Blocking and other Decompositions in Banach spaces

Steven F. Bellenot

Skipped Blocking and other Decompositions in Banach spaces

泛函分析 2007-05-23 v2

作者: Steven F. Bellenot

摘要

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.

关键词

banach spaces

引用

@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}
}

备注

11 pages, 0 figures

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