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- W4295122558 abstract "The class of measure spaces which can be represented as unions of Lebesgue-Rohlin spaces with continuous measures contains a lot of important examples, such as Rn for any n∈N with the Lebesgue measure. In this work we consider symmetric functions on Banach spaces of all complex-valued integrable essentially bounded functions on such unions. We construct countable algebraic bases of algebras of continuous symmetric polynomials on these Banach spaces. The completions of such algebras of polynomials are Fréchet algebras of all complex-valued entire symmetric functions of bounded type on the abovementioned Banach spaces. We show that each such Fréchet algebra is isomorphic to the Fréchet algebra of all complex-valued entire symmetric functions of bounded type on the complex Banach space of all complex-valued essentially bounded functions on [0,1]." @default.
- W4295122558 created "2022-09-11" @default.
- W4295122558 creator A5003543549 @default.
- W4295122558 creator A5035534215 @default.
- W4295122558 date "2022-09-07" @default.
- W4295122558 modified "2023-09-26" @default.
- W4295122558 title "Entire Symmetric Functions on the Space of Essentially Bounded Integrable Functions on the Union of Lebesgue-Rohlin Spaces" @default.
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- W4295122558 doi "https://doi.org/10.3390/axioms11090460" @default.
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