Christoph Schmoeger
Abstract
For a bounded linear operator $A$ on a Banach space we characterize the isolated points in the spectrum of $A$, the Riesz points of $A$, and the poles of the resolvent of $A$.
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For a bounded linear operator $A$ on a Banach space we characterize the isolated points in the spectrum of $A$, the Riesz points of $A$, and the poles of the resolvent of $A$.
Key concepts: Bounded operator, Bounded function, Spectrum (functional analysis), Finite-rank operator, Mathematics, Resolvent formalism, Resolvent, Operator space