The algebra of symmetric analytic functions on L∞

Pablo Galindo; Taras Vasylyshyn; Andriy Zagorodnyuk

doi:10.1017/S0308210516000287

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We consider the algebra of holomorphic functions on L∞ that are symmetric, i.e. that are invariant under composition of the variable with any measure-preserving bijection of [0, 1]. Its spectrum is identified with the collection of scalar sequences such that is bounded and turns to be separable. All this follows from our main result that the subalgebra of symmetric polynomials on L∞ has a natural algebraic basis.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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The algebra of symmetric analytic functions on L∞

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MSC classification

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

The algebra of symmetric analytic functions on L∞

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MSC classification

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