Continuous block-symmetric polynomials of degree at most two on the space $(L_\infty)^2$

DOI10.15330/cmp.8.1.38-43zbMath1354.46048OpenAlexW2464994635MaRDI QIDQ5740293

T. V. Vasylyshyn

Publication date: 26 July 2016

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

Full work available at URL: https://doi.org/10.15330/cmp.8.1.38-43

zbMATH Keywords

block-symmetric polynomialsymmetric function on \(L_\infty\)

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25)

Related Items (5)

Symmetric polynomials on the Cartesian power of \(L_p\) on the semi-axis ⋮ On algebraic basis of the algebra of symmetric polynomials on \(\ell_p(\mathbb{C}^n)\) ⋮ Symmetric functions on spaces $\ell_p(\mathbb{{R}}^n)$ and $\ell_p(\mathbb{{C}}^n)$ ⋮ Symmetric polynomials on \((L_p)^n\) ⋮ The algebra of symmetric polynomials on \((L_\infty)^n\)

Cites Work

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• On algebraic bases of algebras of block-symmetric polynomials on Banach spaces
• Symmetric continuous linear functionals on complex space $L_\infty[0,1$]
• ON POLYNOMIAL APPROXIMATION OF FUNCTIONS ON HILBERT SPACE
• The algebra of symmetric analytic functions on L_∞

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