Algebras of symmetric analytic functions on Cartesian powers of Lebesgue integrable in a power $p\in [1,+\infty)$ functions

DOI10.15330/cmp.13.2.340-351zbMath1493.46065OpenAlexW3199294536WikidataQ114007010 ScholiaQ114007010MaRDI QIDQ5037400

T. V. Vasylyshyn

Publication date: 1 March 2022

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.13.2.340-351

zbMATH Keywords

symmetric polynomialsymmetric analytic functionFréchet algebra of analytic functions

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Ideals, maximal ideals, boundaries (46J20)

Related Items (4)

Lipschitz symmetric functions on Banach spaces with symmetric bases ⋮ On isomorphisms of algebras of entire symmetric functions on Banach spaces ⋮ Algebras of weakly symmetric functions on spaces of Lebesgue measurable functions ⋮ Weakly symmetric functions on spaces of Lebesgue integrable functions

Cites Work

• Unnamed Item
• Symmetric continuous linear functionals on complex space $L_\infty[0,1$]
• Extensions of multilinear mappings to powers of linear spaces
• Some properties of shift operators on algebras generated by $*$-polynomials
• Symmetric $*$-polynomials on $\mathbb C^n$
• Metric on the spectrum of the algebra of entire symmetric functions of bounded type on the complex $L_\infty$
• Lipschitz symmetric functions on Banach spaces with symmetric bases
• Symmetric functions on spaces $\ell_p(\mathbb{{R}}^n)$ and $\ell_p(\mathbb{{C}}^n)$
• Point-evaluation functionals on algebras of symmetric functions on $(L_\infty)^2$
• Topology on the spectrum of the algebra of entire symmetric functions of bounded type on the complex $L_\infty$

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