A multiplicative convolution on the spectra of algebras of symmetric analytic functions

DOI10.1007/S13163-013-0128-0zbMath1321.46054OpenAlexW2020843247MaRDI QIDQ744332

Irina Chernega, Pablo Galindo, Andriy V. Zagorodnyuk

Publication date: 25 September 2014

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-013-0128-0

zbMATH Keywords

symmetric polynomialspolynomials and analytic functions on Banach spacesspectra of algebras

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (Spaces of) multilinear mappings, polynomials (46G25) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (16)

Homomorphisms of the algebra of symmetric analytic functions on $\ell_1$ ⋮ Note on separately symmetric polynomials on the Cartesian product of \(\ell_1\) ⋮ On algebraic basis of the algebra of symmetric polynomials on \(\ell_p(\mathbb{C}^n)\) ⋮ Spectra of algebras of block-symmetric analytic functions of bounded type ⋮ Unbounded symmetric analytic functions on $\ell_1$ ⋮ Metric on the spectrum of the algebra of entire symmetric functions of bounded type on the complex $L_\infty$ ⋮ Continuity and hypercyclicity of composition operators on algebras of symmetric analytic functions on Banach spaces ⋮ Symmetric polynomials on \((L_p)^n\) ⋮ A generalization of the Arens extension for Banach algebras ⋮ Algebras of symmetric holomorphic functions of several complex variables ⋮ Analytic structure on the spectrum of the algebra of symmetric analytic functions on \(L_\infty \) ⋮ The Spectra of Algebras of Group-Symmetric Functions ⋮ Algebras generated by special symmetric polynomials on $\ell_1$ ⋮ Group-symmetric holomorphic functions on a Banach space ⋮ Note on bases in algebras of analytic functions on Banach spaces ⋮ Group-invariant separating polynomials on a Banach space

Cites Work

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• The convolution operation on the spectra of algebras of symmetric analytic functions
• 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

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