Some algebras of symmetric analytic functions and their spectra

DOI10.1017/S0013091509001655zbMath1243.46039MaRDI QIDQ3116822

Irina Chernega, Pablo Galindo, Andriy V. Zagorodnyuk

Publication date: 12 February 2012

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Banach spacespolynomialsentire functionssymmetric polynomialsspectra of algebrassymmetric and subsymmetric analytic functions of bounded type

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)

Related Items (27)

Isomorphisms of some algebras of analytic functions of bounded type on Banach spaces ⋮ On bidual bases in the space of symmetric analytic functions on $\ell_1$ ⋮ 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 \(\ell_p(\mathbb{C}^n)\) ⋮ On isomorphisms of algebras of entire symmetric functions on Banach spaces ⋮ Zeros of block-symmetric polynomials on Banach spaces ⋮ Spectra of algebras of block-symmetric analytic functions of bounded type ⋮ Representation of spectra of algebras of block-symmetric analytic functions of bounded type ⋮ Unbounded symmetric analytic functions on $\ell_1$ ⋮ The convolution operation on the spectra of algebras of symmetric analytic functions ⋮ 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 \((L_p)^n\) ⋮ Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$ ⋮ Algebras of symmetric holomorphic functions of several complex variables ⋮ Analytic structure on the spectrum of the algebra of symmetric analytic functions on \(L_\infty \) ⋮ A Semiring in the Spectrum of the Algebra of Symmetric Analytic Functions in the Space ℓ1 ⋮ A multiplicative convolution on the spectra of algebras of symmetric analytic functions ⋮ The Spectra of Algebras of Group-Symmetric Functions ⋮ Spectra of some algebras of entire functions of bounded type, generated by a sequence of polynomials ⋮ Algebras generated by special symmetric polynomials on $\ell_1$ ⋮ Note on bases in algebras of analytic functions on Banach spaces ⋮ Algebraic basis of the algebra of block-symmetric polynomials on $\ell_1 \oplus \ell_{\infty}$ ⋮ On approximation of homomorphisms of algebras of entire functions on Banach spaces ⋮ 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
• Polynomial algebras on classical Banach spaces
• Multilinear forms, subsymmetric polynomials, and spreading models on Banach spaces
• ALGEBRAS OF SYMMETRIC HOLOMORPHIC FUNCTIONS ON ${\cal L}_p$
• ON POLYNOMIAL APPROXIMATION OF FUNCTIONS ON HILBERT SPACE
• Weak-Star Continuous Analytic Functions
• Spectra of algebras of entire functions on Banach spaces

This page was built for publication: Some algebras of symmetric analytic functions and their spectra