Homological aspects of the theory of Banach complexes
type: Item
instance of: scholarly article
title: Homological aspects of the theory of Banach complexes
zbMATH Open document ID: 0939.58001
DOI: 10.1007/BF02675674
author: V. I. Kuz'minov
author: I. A. Shvedov
published in: Siberian Mathematical Journal
publication date: 2000-01-31T00:00:00Z
review text: The authors clarify how the assumption of normal solvability of one of the differentials of Banach complexes \(A\), \(B\), and \(C\) constituting a short exact sequence \(0\to A\to B\to C\to 0\) affects the properties of other differentials of these complexes and the exactness property of the sequence of the reduced homology spaces.
Mathematics Subject Classification ID: 58A12
Mathematics Subject Classification ID: 47A50
Mathematics Subject Classification ID: 58A10
zbMATH DE Number: 1396707
zbMATH Keywords: exactness of a homology sequence
zbMATH Keywords: normal and compact solvability of a linear operator
MaRDI profile type: Publication
cites work: Maps of pseudo-Euclidean spaces preserving isotropicity of vectors
cites work: Q5660209
full work available at URL: https://doi.org/10.1007/bf02675674
OpenAlex ID: W2329067473
description: scientific article; zbMATH DE number 1396707