Gleason parts for algebras of holomorphic functions in infinite dimensions
From MaRDI portal
Publication:1987366
DOI10.1007/s13163-019-00324-zzbMath1450.46036OpenAlexW2976518977MaRDI QIDQ1987366
Manuel Maestre, Silvia Lassalle, Verónica Dimant, Richard Martin Aron
Publication date: 14 April 2020
Published in: Revista Matemática Complutense (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13163-019-00324-z
Infinite-dimensional holomorphy (46G20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Algebras of holomorphic functions of several complex variables (32A38)
Related Items
On functional analytic approach for Gleason's problem in the theory of SCV, A look into homomorphisms between uniform algebras over a Hilbert space, Analytic structure in fibers of \(\mathcal{H}^\infty( B_{c_0})\), Daugavet property of Banach algebras of holomorphic functions and norm-attaining holomorphic functions, The Daugavet Equation: Linear and Nonlinear Recent Results, Homomorphisms between algebras of holomorphic functions on the infinite polydisk, The spectra of Banach algebras of holomorphic functions on polydisk-type domains
Cites Work
- Cluster values of analytic functions on a Banach space
- Gleason parts and COP
- Bounded weak continuity of homogeneous polynomials at the origin
- Maximal Gleason parts for \(H^\infty\)
- Fibers over the sphere of a uniformly convex Banach space
- Analytic disks in fibers over the unit ball of a Banach space
- Homomorphisms between algebras of holomorphic functions on the infinite polydisk
- Analytic structure in fibers of \(\mathcal{H}^\infty( B_{c_0})\)
- Bounded analytic functions and Gleason parts
- Lectures on Gleason parts
- Analytic structure in fibers
- Composition, numerical range and Aron-Berner extension
- A Hahn-Banach extension theorem for analytic mappings
- A Theorem on Polynomial-Star Approximation
- On the Gleason and Harnack Metrics for Uniform Algebras
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item