Quasianalytic Banach function algebras

DOI10.1016/0022-1236(73)90065-7zbMath0254.46027OpenAlexW2022798550MaRDI QIDQ2558452

Alexander M. Davie, H. Garth Dales

Publication date: 1973

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(73)90065-7

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20)

Related Items (29)

On vector-valued Banach function algebras ⋮ Compact homomorphisms of URM algebras ⋮ BSE properties of some Banach function algebras ⋮ Does a non-Lipschitz function operate on a non-trivial Banach function algebra? ⋮ Point derivations and ideals in Banach algebras of differentiable functions ⋮ Relations between Banach Function Algebras and their Uniform Closures ⋮ Biseparating maps on Fréchet function algebras ⋮ Representing certain vector-valued function spaces as tensor products ⋮ Norm-additive in modulus maps between function algebras ⋮ Quasianalyticity in certain Banach function algebras ⋮ $\operatorname {Lip}_{Hol}(X,\alpha )$ ⋮ Endomorphisms of pointwise Lipschitz algebras ⋮ Weighted composition operators on differentiable Lipschitz algebras ⋮ Norm‐controlled inversion in smooth Banach algebras, II ⋮ Inverse closed ultradifferential subalgebras ⋮ Homomorphisms of certain Banach function algebras ⋮ Strong algebrability and residuality on certain sets of analytic functions ⋮ Normed algebras of differentiable functions on compact plane sets ⋮ Estimation of intermediate derivatives and a Bang-type theorem. I ⋮ PROPERTIES OF CERTAIN SUBALGEBRAS OF DALES-DAVIE ALGEBRAS ⋮ Approximation in the mean by polynomials on non-Caratheodory domains ⋮ Higher point derivations on commutative Banach algebras, III ⋮ Compact endomorphisms of infinitely differentiable Lipschitz algebras ⋮ Linear isometries on Banach spaces ⋮ Endomorphisms of Banach algebras of infinitely differentiable functions on compact plane sets ⋮ Quasicompact and Riesz endomorphisms of Banach algebras ⋮ The Maximal Ideal Space of Extended Di erentiable Lipschitz Algebras ⋮ The Banach algebras \(AC(\sigma)\) and \(BV(\sigma)\) ⋮ φ-contractibility of some classes of Banach function algebras

Cites Work

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• Sur le calcul symbolique dans quelques algèbres de Banach
• Boundaries and Peak Points for Banach Function Algebras

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