Fredholm operators on locally compact spaces
type: Item
instance of: scholarly article
title: Fredholm operators on locally compact spaces
zbMATH Open document ID: 0573.58004
DOI: 10.1007/BF01762543
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1984-01-01T00:00:00Z
review text: The main result of the paper is the theorem: for any oriented Lipschitz manifold M, compact or not, without boundary, and for any difference bundle \((\xi_ 0,\xi_ 1,\alpha)\) on M the following is true: (i) the difference signature operator \(\Lambda (\xi_ 0,\xi_ 1,\alpha)\) is a Fredholm operator, (ii) index \((\Delta (\xi_ 0,\xi_ 1,\alpha),J)\) is a Lipschitz invariant of \([\xi]\in K^ 0(M)\), where [\(\xi\) ] is the class of \(\xi\).
Mathematics Subject Classification ID: 58B15
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 58J32
zbMATH DE Number: 3915262
zbMATH Keywords: Lipschitz manifold
zbMATH Keywords: Fredholm operator
author: Nicolae Teleman
MaRDI profile type: Publication
cites work: Q5588893
cites work: Q4086472
cites work: The index of elliptic operators. I
cites work: The index of elliptic operators. III
cites work: Q3935869
cites work: An analytic proof of Novikov's theorem on rational Pontrjagin classes
cites work: The index of signature operators on Lipschitz manifolds
full work available at URL: https://doi.org/10.1007/bf01762543
OpenAlex ID: W2046790652
description: scientific article; zbMATH DE number 3915262