Three-space theorem for semi-Fredholmness
type: Item
instance of: scholarly article
title: Three-space theorem for semi-Fredholmness
zbMATH Open document ID: 1270.47014
published in: Archiv der Mathematik
publication date: 2013-02-05T00:00:00Z
review text: The authors prove that, for a given exact sequence \[ 0\longrightarrow X \mathop{\longrightarrow}^{J} Y \mathop{\longrightarrow}^{Q} Z\longrightarrow 0 \] of linear maps acting between Banach spaces and linear bounded maps \(A:X\to X\), \(B:Y\to Y\), \(C:Z\to Z\) commuting with \(J\) and \(Q\), respectively, \(B\) is upper (lower) semi-Fredholm provided that so are \(A\) and \(C\).
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 6134596
zbMATH Keywords: semi-Fredholm operators
zbMATH Keywords: 3-space problem
zbMATH Keywords: Samuel multiplicity
author: Qingping Zeng
author: Huaijie Zhong
reviewed by: Dorota Gabor
MaRDI profile type: Publication
full work available at URL: s00013-012-0471-2
OpenAlex ID: W2081127023
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DOI: 10.1007/S00013-012-0471-2
description: scientific article; zbMATH DE number 6134596