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arxiv: 1505.02719 · v2 · pith:GSO6PTF7new · submitted 2015-05-11 · 🧮 math.FA

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

classification 🧮 math.FA
keywords boundedoperatorsinvertibilityleftrightsigmaunboundedapplications
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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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