2009/02/18 by Boris Burshteyn, Burshteyn, Boris
Computer Science · Mathematics · #32A70 #46A32 #46B50 #47A53 #47A55 #47B07 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA #msc:32A70 #msc:46A32 #msc:46B50 #msc:47A53 #msc:47A55 #msc:47B07
paper · pdf · doi:10.48550/arxiv.0902.3045
23 pages
arxiv created 2009/02/18 · openalex publication_date 2009/02/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Based on the recently introduced uniform λ-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.