A gentle guide to the basics of two projections theory
type: Item
instance of: scholarly article
title: A gentle guide to the basics of two projections theory
zbMATH Open document ID: 1189.47073
published in: Linear Algebra and its Applications
publication date: 2010-02-09T00:00:00Z
full work available at URL: https://scholarworks.wm.edu/cgi/viewcontent.cgi
review text: The authors nicely survey the foundamental theory of two projections including Halmos' two projections theorem [see \textit{P.\,R.\thinspace Halmos}, Trans.\ Am.\ Math.\ Soc.\ 144, 381--389 (1969; Zbl 0187.05503)] and Roch, Silbermann, Gohberg, and Krupnik's theorem on two idempotents in Banach algebras [see \textit{I.\,Gohberg} and \textit{N.\,Krupnik}, Integral Equations Oper.\ Theory 15, No.\,6, 991--1010 (1992; Zbl 0795.46043), Integral Equations Oper.\ Theory 16, No.\,4, 514--529 (1993; Zbl 0811.46044) as well as \textit{S.\,Roch} and \textit{B.\,Silbermann}, Integral Equations Oper.\ Theory 11, No.\,3, 385--419 (1988; Zbl 0658.47050)].
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 47L15
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A30
Mathematics Subject Classification ID: 47C15
Mathematics Subject Classification ID: 46L89
Mathematics Subject Classification ID: 46H15
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 47-02
zbMATH DE Number: 5667879
zbMATH Keywords: two projections
zbMATH Keywords: two subspaces
zbMATH Keywords: idempotent
zbMATH Keywords: skew and oblique projection
zbMATH Keywords: angle and gap
zbMATH Keywords: symbol calculus
author: A. Böttcher
author: Ilya M. Spitkovsky
MaRDI profile type: Publication
OpenAlex ID: W2012199071
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A gentle guide to the basics of two projections theory (DOI)
DOI: 10.1016/J.LAA.2009.11.002