Gleason's problem in infinite dimension

DOI10.1007/s12220-013-9424-7zbMath1316.46042OpenAlexW2145820512MaRDI QIDQ2256831

Pablo Galindo

Publication date: 23 February 2015

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-013-9424-7

zbMATH Keywords

maximal idealsGleason problemholomorphic functions of infinitely many variables

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20) Algebras of holomorphic functions of several complex variables (32A38)

Related Items

Composition operators and Gleason's problem on weighted Fock spaces

Cites Work

• An equivalence to the Gleason problem
• Gleason's problem and homogeneous interpolation in Hardy and Dirichlet-type spaces of the ball
• Linearization of Bounded Holomorphic Mappings on Banach Spaces
• Gleason's problem and tangential homogeneous interpolation for hyperholomorphic quaternionic functions
• Interpolating sequences for bounded analytic functions
• Gleason's problem for harmonic mixed norm and Bloch spaces in convex domains
• Geometry and nonlinear analysis in Banach spaces
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