Annals of Functional Analysis

Perturbations of the ball algebra

Krzysztof Jarosz

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We prove that any Banach algebra that is geometrically close to a Ball Algebra must automatically consist of analytic functions and must have a very similar algebraic structure to the original algebra.

Article information

Ann. Funct. Anal., Volume 6, Number 3 (2015), 53-59.

First available in Project Euclid: 17 April 2015

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 46J15: Banach algebras of differentiable or analytic functions, Hp-spaces [See also 30H10, 32A35, 32A37, 32A38, 42B30]
Secondary: 32G15: Moduli of Riemann surfaces, Teichmüller theory [See also 14H15, 30Fxx] 46E15: Banach spaces of continuous, differentiable or analytic functions

Banach algebra uniform algebra ball algebra perturbation deformation


Jarosz, Krzysztof. Perturbations of the ball algebra. Ann. Funct. Anal. 6 (2015), no. 3, 53--59. doi:10.15352/afa/06-3-5.

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