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Abstract: Based on the recently introduced uniform $\lambda-$adjustment for closedsubspaces of Banach spaces we extend the concept of the strictly singular andfinitely strictly singular operators to the sequences of closed subspaces andoperators in Banach spaces and prove theorems about lower semi-Fredholmstability. We also state some new open questions related to strict singularityand the geometry of Banach spaces.



Author: Boris Burshteyn

Source: https://arxiv.org/







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