Algebras of symmetric and block-symmetric functions on spaces of Lebesgue measurable functions (Q6589499)
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scientific article; zbMATH DE number 7898626
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebras of symmetric and block-symmetric functions on spaces of Lebesgue measurable functions |
scientific article; zbMATH DE number 7898626 |
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Algebras of symmetric and block-symmetric functions on spaces of Lebesgue measurable functions (English)
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19 August 2024
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The author explores the algebras of symmetric and block-symmetric polynomials, as well as analytic functions on complex Banach spaces of Lebesgue measurable functions. It is demonstrated that the spectra of Fréchet algebras composed of block-symmetric entire functions of bounded type on these spaces consist solely of point-evaluation functionals.
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symmetric function
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block-symmetric function
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analytic function on Banach space
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space of Lebesgue measurable functions
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spectrum of algebra
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algebraic basis
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