On algebraic basis of the algebra of symmetric polynomials on \(\ell_p(\mathbb{C}^n)\)

DOI10.1155/2017/4947925zbMath1388.46036OpenAlexW2766371171MaRDI QIDQ1683024

Victoriia Kravtsiv, Andriy V. Zagorodnyuk, T. V. Vasylyshyn

Publication date: 6 December 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/4947925

zbMATH Keywords

polynomialsspaces of multilinear mappings

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (17)

Symmetric polynomials on the Cartesian power of \(L_p\) on the semi-axis ⋮ Note on separately symmetric polynomials on the Cartesian product of \(\ell_1\) ⋮ On isomorphisms of algebras of entire symmetric functions on Banach spaces ⋮ Symmetric polynomials on the Cartesian power of the real Banach space \(L_\infty[0,1\)] ⋮ Zeros of block-symmetric polynomials on Banach spaces ⋮ Spectra of algebras of block-symmetric analytic functions of bounded type ⋮ Symmetric $*$-polynomials on $\mathbb C^n$ ⋮ Metric on the spectrum of the algebra of entire symmetric functions of bounded type on the complex $L_\infty$ ⋮ Symmetric polynomials on \((L_p)^n\) ⋮ Analytic structure on the spectrum of the algebra of symmetric analytic functions on \(L_\infty \) ⋮ The algebra of symmetric polynomials on \((L_\infty)^n\) ⋮ Spectra of some algebras of entire functions of bounded type, generated by a sequence of polynomials ⋮ Algebras generated by special symmetric polynomials on $\ell_1$ ⋮ Point-evaluation functionals on algebras of symmetric functions on $(L_\infty)^2$ ⋮ Algebraic basis of the algebra of block-symmetric polynomials on $\ell_1 \oplus \ell_{\infty}$ ⋮ Symmetric analytic functions on the Cartesian power of the complex Banach space of Lebesgue measurable essentially bounded functions on \([0,1\)] ⋮ Group-invariant separating polynomials on a Banach space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On algebraic bases of algebras of block-symmetric polynomials on Banach spaces
• The convolution operation on the spectra of algebras of symmetric analytic functions
• A multiplicative convolution on the spectra of algebras of symmetric analytic functions
• Group-symmetric holomorphic functions on a Banach space
• Symmetric continuous linear functionals on complex space $L_\infty[0,1$]
• Representation of spectra of algebras of block-symmetric analytic functions of bounded type
• Some algebras of symmetric analytic functions and their spectra
• ALGEBRAS OF SYMMETRIC HOLOMORPHIC FUNCTIONS ON ${\cal L}_p$
• ON POLYNOMIAL APPROXIMATION OF FUNCTIONS ON HILBERT SPACE
• The algebra of symmetric analytic functions on L_∞
• Continuous block-symmetric polynomials of degree at most two on the space $(L_\infty)^2$

This page was built for publication: On algebraic basis of the algebra of symmetric polynomials on \(\ell_p(\mathbb{C}^n)\)