Right (Or Left) Invertibility of Bounded and Unbounded Operators and Applications to the Spectrum of Products

2015/05/11 by Mortad, Mohammed Hichem, Dehimi, Souheyb
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1505.02719

Abstract

This paper is mainly concerned with proving σ(AB)=σ(BA) for two linear and non necessarily bounded operators A and B. The main tool is left and right invertibility of bounded and unbounded operators.

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