On operators with bounded approximation property

2013/12/07 by O. I. Reinov, Oleg Reinov, Reinov, Oleg
Mathematics · #46B28 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #Approximation property #Banach manifold #Banach space #Basis (linear algebra) #Bounded function #Bounded operator #C0-semigroup #Computer science #FOS: Mathematics #Finite-rank operator #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Infinite-dimensional vector function #Invariant subspace problem #Lp space #Mathematical analysis #Mathematics #Operator space #Property (philosophy) #Pure mathematics #Separable space #Space (punctuation) #Subspace topology #math.FA #msc:46B28

paper · pdf · doi:10.48550/arxiv.1312.2116

5 pages

arxiv created 2013/12/07 · openalex publication_date 2013/12/07 · arxiv updated 2013/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is known that any separable Banach space with BAP is a complemented subspace of a Banach space with a basis. We show that every operator with bounded approximation property, acting from a separable Banach space, can be factored through a Banach space with a basis.

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