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Bohr phenomenon for operator valued functions with fixed initial coefficient

Complex Variables 2020-03-13 v1 Functional Analysis

Abstract

The purpose of this article is to study Bohr inequalities involving the absolute values of the coefficients of an operator valued function. To be more specific, we establish an operator valued analogue of a classical result regarding the Bohr phenomenon for scalar valued functions with fixed initial coefficient. Apart from that, operator valued versions of other related and well known results are obtained.

Keywords

Cite

@article{arxiv.2003.05810,
  title  = {Bohr phenomenon for operator valued functions with fixed initial coefficient},
  author = {Bappaditya Bhowmik and Nilanjan Das},
  journal= {arXiv preprint arXiv:2003.05810},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T14:12:52.489Z