Spectra of algebras of entire functions on Banach spaces

DOI10.1090/S0002-9939-06-08260-8zbMath1158.46038OpenAlexW1504128149MaRDI QIDQ5469218

Andriy V. Zagorodnyuk

Publication date: 17 May 2006

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08260-8

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items

Isomorphisms of some algebras of analytic functions of bounded type on Banach spaces, Representing measures and infinite-dimensional holomorphy, Homomorphisms of the algebra of symmetric analytic functions on $\ell_1$, Wiener weighted algebra of functions of infinitely many variables, Homomorphisms and functional calculus in algebras of entire functions on Banach spaces, Some properties of shift operators on algebras generated by $*$-polynomials, Note on separately symmetric polynomials on the Cartesian product of \(\ell_1\), A generalization of the Arens extension for Banach algebras, A Semiring in the Spectrum of the Algebra of Symmetric Analytic Functions in the Space ℓ1, Spectra of some algebras of entire functions of bounded type, generated by a sequence of polynomials, On approximation of homomorphisms of algebras of entire functions on Banach spaces, Some algebras of symmetric analytic functions and their spectra, An analog of Wiener's theorem for infinite-dimensional Banach spaces

Cites Work

• The spectra of some algebras of analytic mappings
• Polynomial compactness in Banach spaces
• The spectrum of analytic mappings of bounded type
• Multilinear forms, subsymmetric polynomials, and spreading models on Banach spaces
• Homomorphisms and composition operators on algebras of analytic functions of bounded type
• A Hahn-Banach extension theorem for analytic mappings
• Scalar Homomorphisms on Algebras of Infinitely Long Polynomials with an Application to Automatic Continuity Theory
• Polynomial approximation of differentiable functions on Banach spaces.
• Extension of multilinear mappings on Banach spaces
• ALGEBRAS OF SYMMETRIC HOLOMORPHIC FUNCTIONS ON ${\cal L}_p$
• Block diagonal polynomials
• A Theorem on Polynomial-Star Approximation
• Weak-Star Continuous Analytic Functions
• Regularity and Algebras of Analytic Functions in Infinite Dimensions
• Locally multiplicatively-convex topological algebras
• Ideals of holomorphic functions on Tsirelson's space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item