Definition 29.4.2 (Spectral Radius).label Let $A$ be a unital Banach algebra and $x \in A$, then
\[[x]_{sp}= \sup\bracs{|\lambda|: \lambda \in \sigma_A(x)}\]
is the spectral radius of $x$.
Definition 29.4.2 (Spectral Radius).label Let $A$ be a unital Banach algebra and $x \in A$, then
is the spectral radius of $x$.
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