Numerical boundaries for some classical Banach spaces

DOI10.1016/j.jmaa.2008.05.064zbMath1167.46008OpenAlexW1965321353MaRDI QIDQ2518762

María D. Acosta, Sung Guen Kim

Publication date: 16 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.064

zbMATH Keywords

holomorphic functionboundaryŠilov boundary

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

Numerical peak holomorphic functions on Banach spaces ⋮ Bishop's theorem and differentiability of a subspace of \(C_b(K)\) ⋮ Numerical peak points and numerical Šilov boundary for holomorphic functions ⋮ Generalized numerical index and denseness of numerical peak holomorphic functions on a Banach space ⋮ Denseness of numerical radius attaining holomorphic functions

Cites Work

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• On boundaries on the predual of the Lorentz sequence space
• Shilov boundary for holomorphic functions on some classical Banach spaces
• On interpolation by analytic maps in infinite dimensions
• Boundaries for polydisc algebras in infinite dimensions
• Norm or Numerical Radius Attaining Multilinear Mappings and Polynomials
• The Numerical Range of Holomorphic Functions in Banach Spaces

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