Peripheral multiplicativity of maps on uniformly closed algebras of continuous functions which vanish at infinity

DOI10.3836/tjm/1249648411zbMath1201.46046OpenAlexW1974114627MaRDI QIDQ841440

Hirokazu Oka, Takeshi Miura, Osamu Hatori, Hiroyuki Takagi

Publication date: 16 September 2009

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1249648411

zbMATH Keywords

Banach algebraChoquet boundaryfunction algebraapproximate identity

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10)

Related Items

Weakly peripherally multiplicative surjections of pointed Lipschitz algebras, Weighted composition operators on \(C(X)\) and \(\text{Lip}_c(X,\alpha)\), Multiplicatively and non-symmetric multiplicatively norm-preserving maps, Generalizations of spectrally multiplicative surjections between uniform algebras, Nonlinear conditions for weighted composition operators between Lipschitz algebras, Lipschitz algebras and peripherally-multiplicative maps, Multiplicatively range-preserving maps between Banach function algebras

Cites Work

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• Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative
• An example of multiplicatively spectrum-preserving maps between non-isomorphic semi-simple commutative Banach algebras
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• Multiplicatively spectrum-preserving maps of function algebras
• MULTIPLICATIVELY SPECTRUM-PRESERVING MAPS OF FUNCTION ALGEBRAS. II
• Uniform algebra isomorphisms and peripheral multiplicativity
• Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties