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20092026
most citedMultiplicatively spectrum-preserving and norm-preserving maps between invertible groups of commutative Banach algebras

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math.FA2026

Spectral decomposition of doubly power-bounded elements in Banach algebras

Osamu Hatori, Shiho Oi

We establish a characterization of doubly power-bounded elements with finite spectrum in Banach algebras. In particular, we present a spectral decomposition for such elements, exte…