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

Published 11 May 2015 in math.FA | (1505.02719v2)

Abstract: This paper is mainly concerned with proving $\sigma(AB)=\sigma(BA)$ 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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