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A note on the Browder S-spectrum of a bounded quaternionic operator

Dbeibia, Mohamed Ali
arXiv (All) · Papers
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functional-analysisspectral-theory
Let $A$ be a bounded operator on a separable right quaternionic Hilbert space and let $\CA$ be the set of compact operators commuting with $A$. We establish the formula \[ \sigb(A)=\bigcap_{K\in\CA} \sS(A+K), \] a quaternionic analogue of the classical characterization of the complex Browder spectru
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