Gerald J. Murphy
Abstract
Let $A$ be a Banach algebra containing an element $x$. Topological conditions on the spectrum of $x$ are given which are necessary and sufficient to ensure the continuity of the spectrum or spectral radius at $x$.
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Let $A$ be a Banach algebra containing an element $x$. Topological conditions on the spectrum of $x$ are given which are necessary and sufficient to ensure the continuity of the spectrum or spectral radius at $x$.
Key concepts: Spectral radius, Spectrum (functional analysis), RADIUS, Banach algebra, Mathematics, Element (criminal law), Pure mathematics, Physics