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biholomorphic function

Proceedings of the Edinburgh Mathematical Society (1)

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Bohr phenomenon for operator-valued functions
Part of
Bappaditya Bhowmik, Nilanjan Das
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 64 / Issue 1 / February 2021

Published online by Cambridge University Press:

08 January 2021, pp. 72-86
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We establish Bohr inequalities for operator-valued functions, which can be viewed as analogues of a couple of interesting results from scalar-valued settings. Some results of this paper are motivated by the classical flavour of Bohr inequality, while others are based on a generalized concept of the Bohr radius problem.