Generalizations of weakly peripherally multiplicative maps between uniform algebras

DOI10.1016/j.jmaa.2010.08.051zbMath1220.46034OpenAlexW2047129670MaRDI QIDQ616694

Aaron Luttman, Kristopher Lee

Publication date: 12 January 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.051

zbMATH Keywords

Choquet boundaryuniform algebraperipheral spectrum, surjection, weakly peripherally-multiplicative map, weighted composition operator

Mathematics Subject Classification ID

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

Related Items

Spectral conditions for almost composition operators between algebras of functions ⋮ Nonlinear spectral radius preservers between certain non-unital Banach function algebras ⋮ Generalized weak peripheral multiplicativity in algebras of Lipschitz functions ⋮ Norm-additive in modulus maps between function algebras ⋮ Transformations of the unitary group on a Hilbert space

Cites Work

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• Weakly peripherally multiplicative surjections of pointed Lipschitz algebras
• Generalizations of spectrally multiplicative surjections between uniform algebras
• Peripherally monomial-preserving maps between uniform algebras
• Nonlinear conditions for weighted composition operators between Lipschitz algebras
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• Weak multiplicative operators on function algebras without units
• 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
• Algebra isomorphisms between standard operator algebras

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