Boundaries and Peak Points for Banach Function Algebras

DOI10.1112/plms/s3-22.1.121zbMath0211.15902OpenAlexW2065091800MaRDI QIDQ5612096

H. Garth Dales

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1112/plms/s3-22.1.121

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (18)

Almost weighted composition operators between Banach function algebras ⋮ Peak points and peaking functions forP(K) ⋮ Polynomially peripheral range-preserving maps between Banach algebras ⋮ Real-linear isometries and jointly norm-additive maps on function algebras ⋮ On Šilov boundaries for subspaces of continuous functions ⋮ Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative ⋮ Maps between Banach function algebras satisfying certain norm conditions ⋮ Peak set without peak points ⋮ Choquet and Shilov boundaries, peak sets, and peak points for real Banach function algebras ⋮ Real-linear isometries between certain subspaces of continuous functions ⋮ Norm-additive in modulus maps between function algebras ⋮ Bilinear isometries on subspaces of continuous functions ⋮ Multiplicatively and non-symmetric multiplicatively norm-preserving maps ⋮ Multiplicatively range-preserving maps between Banach function algebras ⋮ Multilinear isometries on function algebras ⋮ Quasianalytic Banach function algebras ⋮ Peripherally multiplicative operators on unital commutative Banach algebras ⋮ The Density of Peak Points in the Shilov Boundary of a Banach Function Algebra

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