An operator-valued analogue of a result of Bombieri

DOI10.1007/s11785-022-01194-yzbMath1492.47023OpenAlexW4207052389MaRDI QIDQ2075613

Bappaditya Bhowmik, Nilanjan Das

Publication date: 15 February 2022

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-022-01194-y

zbMATH Keywords

operator-valued functionsBohr radiusabsolute values of operators

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Power series (including lacunary series) in one complex variable (30B10) Spaces of bounded analytic functions of one complex variable (30H05) Positive linear operators and order-bounded operators (47B65)

Cites Work

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• Bohr radii of vector valued holomorphic functions
• Bohr radius and its asymptotic value for holomorphic functions in higher dimensions
• A characterization of Banach spaces with nonzero Bohr radius
• Bohr inequalities for free holomorphic functions on polyballs
• Bohr's theorem for holomorphic mappings with values in homogeneous balls
• The Bohr inequality for ordinary Dirichlet series
• EXTENSIONS OF BOHR'S INEQUALITY
• Bohr’s power series theorem in several variables
• Multidimensional analogues of Bohr’s theorem on power series
• Bohr phenomenon for operator-valued functions

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