Boundaries for algebras of holomorphic functions.

DOI10.1016/S0022-247X(03)00150-1zbMath1037.46051OpenAlexW2059683071MaRDI QIDQ1399350

Luis Romero Grados, Luiza Amália Moraes

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00150-1

zbMATH Keywords

extreme pointsBanach algebrasholomorphic functionsboundarypeak pointsGowers space

Mathematics Subject Classification ID

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)

Related Items (8)

Boundaries for algebras of holomorphic functions on Marcinkiewicz sequence spaces ⋮ On boundaries on the predual of the Lorentz sequence space ⋮ Bishop's theorem and differentiability of a subspace of \(C_b(K)\) ⋮ Boundaries for algebras of analytic functions on function module Banach spaces ⋮ Boundaries for spaces of holomorphic functions on \({\mathcal C}(K)\) ⋮ Geometry of the Marcinkiewicz sequence space ⋮ On norm-attaining mappings on Banach spaces ⋮ Numerical boundaries for some classical Banach spaces

Cites Work

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• A minimal boundary for function algebras
• Symmetric block bases of sequences with large average growth
• On interpolation by analytic maps in infinite dimensions
• Boundaries for polydisc algebras in infinite dimensions

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