Additively spectral-radius preserving surjections between unital semisimple commutative Banach algebras

DOI10.2478/s11533-010-0025-4zbMath1211.46052OpenAlexW2079391316MaRDI QIDQ607417

Takeshi Miura, Osamu Hatori, Go Hirasawa

Publication date: 22 November 2010

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0025-4

zbMATH Keywords

uniform algebraShilov boundaryalgebra isomorphismnorm-additive mapsemi-simple commutative Banach algebra

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Banach algebras of continuous functions, function algebras (46J10)

Related Items (13)

Extremely strong boundary points and real-linear isometries ⋮ Polynomially peripheral range-preserving maps between Banach algebras ⋮ Norm-additive maps on the positive definite cone of a \(C^{*}\)-algebra ⋮ Real-linear isometries and jointly norm-additive maps on function algebras ⋮ Real-linear isometries on spaces of functions of bounded variation ⋮ Nonlinear diameter preserving maps between certain function spaces ⋮ Transformations preserving norms of means of positive operators and nonnegative functions ⋮ Real-linear isometries between certain subspaces of continuous functions ⋮ Norm-additive in modulus maps between function algebras ⋮ Real-linear isometries between function algebras ⋮ A generalization of the Banach-Stone theorem for commutative Banach algebras ⋮ Real-linear isometries between subspaces of continuous functions ⋮ Generalized 2-local isometries of spaces of continuously differentiable functions

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