Spectral conditions for almost composition operators between algebras of functions

DOI10.1090/S0002-9939-2014-12005-3zbMath1325.46052MaRDI QIDQ3189577

Thomas V. Tonev

Publication date: 12 September 2014

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

zbMATH Keywords

Choquet boundaryuniform algebraperipheral spectrumfunction algebracomposition operatoralgebra isomorphismalmost composition operatoralmost weighted composition operator

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear composition operators (47B33)

Related Items

Almost weighted composition operators between Banach function algebras ⋮ An optimal linear approximation for a class of nonlinear operators between uniform algebras ⋮ Transformations preserving norms of means of positive operators and nonnegative functions ⋮ Almost composition operators between algebras of absolutely continuous functions

Cites Work

• Generalizations of weakly peripherally multiplicative maps between uniform 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
• Perturbations of Uniform Algebras, II
• MULTIPLICATIVELY SPECTRUM-PRESERVING MAPS OF FUNCTION ALGEBRAS. II
• Weakly-peripherally multiplicative conditions and isomorphisms between uniform algebras
• Uniform algebra isomorphisms and peripheral multiplicativity
• Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties
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