Lipschitz symmetric functions on Banach spaces with symmetric bases

DOI10.15330/CMP.13.3.727-733zbMath1502.46035OpenAlexW4200366443WikidataQ114006980 ScholiaQ114006980MaRDI QIDQ5037433

S. I. Vasylyshyn, M. V. Martsinkiv, T. V. Vasylyshyn, Andriy V. Zagorodnyuk

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.13.3.727-733

zbMATH Keywords

symmetric basistropical polynomialLipschitz symmetric function on Banach space

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach spaces of continuous, differentiable or analytic functions (46E15) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Related Items (5)

Algebras of symmetric analytic functions on Cartesian powers of Lebesgue integrable in a power $p\in [1,+\infty)$ functions ⋮ On isomorphisms of algebras of entire symmetric functions on Banach spaces ⋮ Spectra of algebras of analytic functions, generated by sequences of polynomials on Banach spaces, and operations on spectra ⋮ Algebras of weakly symmetric functions on spaces of Lebesgue measurable functions ⋮ Weakly symmetric functions on spaces of Lebesgue integrable functions

Cites Work

• On geometric extension of polynomials on Banach spaces
• Extensions of multilinear mappings to powers of linear spaces
• Some properties of shift operators on algebras generated by $*$-polynomials
• Metric on the spectrum of the algebra of entire symmetric functions of bounded type on the complex $L_\infty$
• Algebras of symmetric analytic functions on Cartesian powers of Lebesgue integrable in a power $p\in [1,+\infty)$ functions
• Symmetric functions on spaces $\ell_p(\mathbb{{R}}^n)$ and $\ell_p(\mathbb{{C}}^n)$
• Степеневі операції та диференціювання, асоційовані з суперсиметричними поліномами на банаховому просторі
• Algebras generated by special symmetric polynomials on $\ell_1$
• Point-evaluation functionals on algebras of symmetric functions on $(L_\infty)^2$
• Note on bases in algebras of analytic functions on Banach spaces

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