Extracting long basic sequences from systems of dispersed vectors

@inproceedings{Talponen2010ExtractingLB,
  title={Extracting long basic sequences from systems of dispersed vectors},
  author={Jarno Talponen},
  year={2010}
}
We study Banach spaces satisfying some geometric or structural properties involving tightness of transfinite sequences of nested linear subspaces. These properties are much weaker than WCG and closely related to Corson's property (C). Given a transfinite sequence of normalized vectors, which is dispersed or null in some sense, we extract a subsequence which is a biorthogonal sequence, or even a weakly null monotone basic sequence, depending on the setting. The Separable Complementation Property… CONTINUE READING
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