English

Bohr's inequality revisited

Functional Analysis 2011-07-08 v1 Operator Algebras

Abstract

We survey several significant results on the Bohr inequality and presented its generalizations in some new approaches. These are some Bohr type inequalities of Hilbert space operators related to the matrix order and the Jensen inequality. An eigenvalue extension of Bohr's inequality is discussed as well.

Keywords

Cite

@article{arxiv.1107.1289,
  title  = {Bohr's inequality revisited},
  author = {Masatoshi Fujii and Mohammad Sal Moslehian and Jadranka Micic},
  journal= {arXiv preprint arXiv:1107.1289},
  year   = {2011}
}

Comments

13 pages, to appear in a Springer volume edited by P. Pardalos, H.M. Srivastava, and P. Georgiev

R2 v1 2026-06-21T18:33:17.189Z