A polynomially spectrum preserving map between uniform algebras

zbMath1241.47032MaRDI QIDQ533336

Hirokazu Oka, Go Hirasawa

Publication date: 2 May 2011

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1303477708

zbMATH Keywords

isomorphismsuniform algebrasspectrum preserving maps

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on Banach algebras (47B48)

Related Items

Polynomially peripheral range-preserving maps between Banach algebras

Cites Work

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• Generalizations of spectrally multiplicative surjections between uniform algebras
• Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• Uniform algebra isomorphisms and peripheral multiplicativity