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eigenvalues of matrices or operators

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The non empty set of accumulation points of a bounded linear operator is the spectrum of ano...

Let $X$ be an infinite dimensional Banach space, and let $T \in L(X)$ such that the set of accumulation points of $T$ is non empty, i-e $\mbox{acc}\,\sigma(T)\neq 0.$\ Is there a Banach space $Y$ …
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