Strictly Singular Uniform $λ-$Adjustment in Banach Spaces

Details Strictly Singular Uniform $λ-$Adjustment in Banach Spaces Strictly Singular Uniform $λ-$Adjustment in Banach Spaces

2009-02-18

arxiv.org/abs/0902.3045v1

Mathematics

Functional Analysis

23 pages

Scientific paper

Based on the recently introduced uniform $\lambda-$adjustment for closed subspaces of Banach spaces we extend the concept of the strictly singular and finitely strictly singular operators to the sequences of closed subspaces and operators in Banach spaces and prove theorems about lower semi--Fredholm stability. We also state some new open questions related to strict singularity and the geometry of Banach spaces.

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