A characterization of Banach spaces with nonzero Bohr radius

DOI10.1007/s00013-020-01568-8zbMath1468.30007OpenAlexW3126314302MaRDI QIDQ828621

Nilanjan Das, Bappaditya Bhowmik

Publication date: 5 May 2021

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

Full work available at URL: https://doi.org/10.1007/s00013-020-01568-8

zbMATH Keywords

Bohr radiusuniform convexity of Banach spaces

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Power series (including lacunary series) in one complex variable (30B10) Holomorphic maps with infinite-dimensional arguments or values (32K12)

Related Items

Bohr radius and its asymptotic value for holomorphic functions in higher dimensions ⋮ Bohr-Rogosinski inequalities for certain fully starlike harmonic mappings ⋮ Estimates for generalized Bohr radii in one and higher dimensions ⋮ Bohr and Rogosinski inequalities for operator valued holomorphic functions ⋮ An operator-valued analogue of a result of Bombieri

Cites Work

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• On Complex Strict and Uniform Convexity
• Bohr’s power series theorem in several variables
• Bohr’s inequality for uniform algebras
• Banach Algebras Satisfying the Non-Unital Von Neumann Inequality
• Bohr property of bases in the space of entire functions and its generalizations
• The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space