Regularizability of superposition of inverse linear operators
type: Item
instance of: scholarly article
title: Regularizability of superposition of inverse linear operators
zbMATH Open document ID: 0755.47004
DOI: 10.1007/BF01102488
published in: Journal of Soviet Mathematics
publication date: 1992-09-26T00:00:00Z
review text: Let \(L_ 0(X,Y)\) be the linear continuous injective operators; \(X,Y\) are Banach spaces. If \(X\) is separable and \(A\in L_ 0(X,Y)\), then the regularizability of \(A^{-1}\) is equivalent to the subspace \(A^*Y^*\subset X^*\) being norming. This article investigates the problem of determining the triples \((X,Y,Z)\) of infinite-dimensional separable Banach spaces for which there exist operators \(A\in L_ 0(X,Y)\) and \(B\in L_ 0(Y,Z)\) such that \(A^{-1}\) and \(B^{-1}\) are regularizable but \((BA)^{-1}\) is not.
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 47A50
zbMATH DE Number: 56612
zbMATH Keywords: linear continuous injective operators
zbMATH Keywords: regularizability
author: Mikhail Ostrovskii
reviewed by: Joe Howard
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 56612