Divisibly norm-preserving maps between commutative Banach algebras
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Publication:640280
DOI10.1216/RMJ-2011-41-5-1675zbMath1232.46048MaRDI QIDQ640280
Takeshi Miura, Dai Honma, Rumi Shindo
Publication date: 18 October 2011
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Automatic continuity (46H40) Banach algebras of continuous functions, function algebras (46J10) Linear operators on Banach algebras (47B48) Ideals, maximal ideals, boundaries (46J20)
Related Items (9)
Norm conditions for real-algebra isomorphisms between uniform algebras ⋮ Nonlinear spectral radius preservers between certain non-unital Banach function algebras ⋮ Additively spectral-radius preserving surjections between unital semisimple commutative Banach algebras ⋮ Isometries and maps compatible with inverted Jordan triple products on groups ⋮ Maps between uniform algebras preserving norms of rational functions ⋮ A generalization of the Banach-Stone theorem for commutative Banach algebras ⋮ Generalizations of spectrally multiplicative surjections between uniform algebras ⋮ A generalization of peripherally-multiplicative surjections between standard operator algebras ⋮ Maps which preserve norms of non-symmetrical quotients between groups of exponentials of Lipschitz functions
Cites Work
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- Norm-preserving surjections on algebras of continuous functions
- Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative
- Norm conditions for uniform algebra isomorphisms
- Some characterizations of the automorphisms of $B(H)$ and $C(X)$
- Multiplicatively spectrum-preserving maps of function algebras
- Uniform algebra isomorphisms and peripheral multiplicativity
- Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties
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