Uniform algebra isomorphisms and peripheral multiplicativity

DOI10.1090/S0002-9939-07-08881-8zbMath1134.46030OpenAlexW1998279351MaRDI QIDQ5308127

Publication date: 27 September 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08881-8

zbMATH Keywords

automatic continuity uniform algebras peripheral spectrum algebra isomorphisms peripheral multiplicativity

Mathematics Subject Classification ID

Automatic continuity (46H40) Banach algebras of continuous functions, function algebras (46J10) Ideals, maximal ideals, boundaries (46J20)

Related Items (46)

Almost weighted composition operators between Banach function algebras ⋮ Polynomially peripheral range-preserving maps between Banach algebras ⋮ Peripheral multiplicativity of maps on uniformly closed algebras of continuous functions which vanish at infinity ⋮ Norm conditions for real-algebra isomorphisms between uniform algebras ⋮ Jordan product and local spectrum preservers ⋮ Spectral conditions for almost composition operators between algebras of functions ⋮ Nonlinear spectral radius preservers between certain non-unital Banach function algebras ⋮ An optimal linear approximation for a class of nonlinear operators between uniform algebras ⋮ Maps between Banach function algebras satisfying certain norm conditions ⋮ Additively spectral-radius preserving surjections between unital semisimple commutative Banach algebras ⋮ Maps preserving peripheral spectrum of generalized Jordan products of operators ⋮ Generalizations of weakly peripherally multiplicative maps between uniform algebras ⋮ Weakly peripherally multiplicative surjections of pointed Lipschitz algebras ⋮ Maps between uniform algebras preserving norms of rational functions ⋮ Nonlinear maps preserving the reduced minimum modulus of operators ⋮ Almost composition operators between algebras of absolutely continuous functions ⋮ Determining elements in Banach algebras through spectral properties ⋮ Banach function algebras and certain polynomially norm-preserving maps ⋮ Divisibly norm-preserving maps between commutative Banach algebras ⋮ Norm conditions on maps between certain subspaces of continuous functions ⋮ Generalized weak peripheral multiplicativity in algebras of Lipschitz functions ⋮ Weighted composition operators on \(C(X)\) and \(\text{Lip}_c(X,\alpha)\) ⋮ Norm-additive in modulus maps between function algebras ⋮ Maps preserving peripheral spectrum of generalized Jordan products of self-adjoint operators ⋮ Norm conditions for uniform algebra isomorphisms ⋮ Peripheral local spectrum preservers of Jordan products of operators ⋮ Maps preserving the local spectrum of Jordan product of matrices ⋮ Mappings onto multiplicative subsets of function algebras and spectral properties of their products ⋮ A generalization of the Banach-Stone theorem for commutative Banach algebras ⋮ A polynomially spectrum preserving map between uniform algebras ⋮ Multiplicatively and non-symmetric multiplicatively norm-preserving maps ⋮ Maps preserving peripheral spectrum of Jordan semi-triple products of operators ⋮ Generalizations of spectrally multiplicative surjections between uniform algebras ⋮ Nonlinear conditions for weighted composition operators between Lipschitz algebras ⋮ Maps preserving peripheral spectrum of generalized products of operators ⋮ Norm-preserving surjections on algebras of continuous functions ⋮ Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices ⋮ Lipschitz algebras and peripherally-multiplicative maps ⋮ Nonlinear maps preserving the minimum and surjectivity moduli ⋮ Spectra of elements in operator space tensor products of \(\mathrm{C}^{\ast}\)-algebras ⋮ Best constants of Banach-Stone type theorems in subgroups of 𝐶(𝐾) ⋮ Norm-linear and norm-additive operators between uniform algebras ⋮ On Banach-Stone type theorems in uniform multiplicative subgroups of \(C(K)\)-spaces ⋮ A note on peripherally multiplicative maps on Banach algebras ⋮ A generalization of peripherally-multiplicative surjections between standard operator algebras ⋮ Peripherally multiplicative operators on unital commutative Banach algebras

Cites Work

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