Shilov boundary for holomorphic functions on some classical Banach spaces

DOI10.4064/SM179-1-3zbMath1124.46023OpenAlexW2050124746MaRDI QIDQ3419252

María D. Acosta, Mary Lilian Lourenço

Publication date: 6 February 2007

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm179-1-3

zbMATH Keywords

spaces of holomorphic functionsboundaryLorentz sequence spaceShilov boundarypeak pointspace of compact operatorsSchreier spacestrong peak pointspace of trace class operators

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces of operators; tensor products; approximation properties (46B28) Ideals, maximal ideals, boundaries (46J20) Banach sequence spaces (46B45)

Related Items (7)

Holomorphic functions with large cluster sets ⋮ The polynomial cluster value problem ⋮ Numerical peak points and numerical Šilov boundary for holomorphic functions ⋮ Cluster values for algebras of analytic functions ⋮ Boundaries for algebras of analytic functions on function module Banach spaces ⋮ Cluster values of holomorphic functions of bounded type ⋮ Numerical boundaries for some classical Banach spaces

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