Invertibility of the Sum of Idempotents

Authors: Koliha J.J.1; RakoCcaronevicacute V.2

Source: Linear and Multilinear Algebra, Volume 50, Number 4, 1 January 2002 , pp. 285-292(8)

Publisher: Taylor and Francis Ltd

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Abstract:

We study necessary and sufficient conditions for the invertibility of the sum f+g when f and g are idempotents in a unital ring or bounded linear operators in Hilbert or Banach spaces. We describe the relation between the invertibility of f+g and f-g.

Keywords: Unital ring; Idempotent; Bounded linear operator

Document Type: Research article

Affiliations: 1: Department of Mathematics and Statistics, The University of Melbourne, VIC 3010, Australia 2: Philosophical Faculty, University of Niscaron, 18000 Niscaron, Yugoslavia-Serbia, 18000 Niscaron, Yugoslavia-Serbia">

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