Ideals of holomorphic functions on Tsirelson's space

DOI10.1007/s000130050571zbMath0993.46026OpenAlexW2059640602MaRDI QIDQ5943211

Jorge Mujica

Publication date: 16 September 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050571

zbMATH Keywords

idealsapproximation propertycommon zerosholomorphic functions on Fréchet spacesjoint spectrumpolynomially convexTsirelson's space

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Ideals, maximal ideals, boundaries (46J20) Spaces of linear operators; topological tensor products; approximation properties (46A32) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Rings and algebras of continuous, differentiable or analytic functions (46E25) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (11)

Invertibility in Fréchet algebras ⋮ Polynomial approximation in Banach spaces ⋮ Compact homomorphisms between uniform Fréchet algebras ⋮ The polynomial dual of an operator ideal ⋮ Envelopes of holomorphy and extension of functions of bounded type ⋮ Spectra of algebras of holomorphic functions of bounded type ⋮ Continuous homomorphisms between topological algebras of holomorphic germs ⋮ Reflexivity of spaces of polynomials on direct sums of Banach spaces ⋮ Inverses depending holomorphically on a parameter in a Banach space ⋮ Spectra of algebras of entire functions on Banach spaces ⋮ On a splitting problem

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