Multiplicatively and non-symmetric multiplicatively norm-preserving maps

DOI10.2478/s11533-010-0053-0zbMath1229.46034OpenAlexW1981469018MaRDI QIDQ539181

Fereshteh Sady, Maliheh Hosseini

Publication date: 27 May 2011

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

Full work available at URL: https://doi.org/10.2478/s11533-010-0053-0

zbMATH Keywords

peripheral spectrumBanach function algebraperipheral rangemultiplicatively norm preservingpeaking functionrange-preserving map

Mathematics Subject Classification ID

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

Related Items

Nonlinear spectral radius preservers between certain non-unital Banach function algebras ⋮ Maps between Banach function algebras satisfying certain norm conditions ⋮ Banach function algebras and certain polynomially norm-preserving maps ⋮ Norm conditions on maps between certain subspaces of continuous functions ⋮ Maps which preserve norms of non-symmetrical quotients between groups of exponentials of Lipschitz functions

Cites Work

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• Weakly peripherally multiplicative surjections of pointed Lipschitz algebras
• Norm-preserving surjections on algebras of continuous functions
• Peripheral multiplicativity of maps on uniformly closed algebras of continuous functions which vanish at infinity
• Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative
• Norm conditions for uniform algebra isomorphisms
• Multiplicatively range-preserving maps between Banach function algebras
• On Šilov boundaries for subspaces of continuous functions
• Nonlinear conditions for weighted composition operators between Lipschitz algebras
• Norm conditions for real-algebra isomorphisms between uniform algebras
• Lipschitz algebras and peripherally-multiplicative maps
• 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
• 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
• Boundaries and Peak Points for Banach Function Algebras

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