English

Generalizations of Reid Inequality

Functional Analysis 2017-07-12 v1 Operator Algebras

Abstract

In this paper, we improve the famous Reid Inequality related to linear operators. Some monotony results for positive operators are also established with a different approach from what is known in the existing literature. Lastly, Reid and Halmos-Reid inequalities are extended to unbounded operators.

Keywords

Cite

@article{arxiv.1707.03320,
  title  = {Generalizations of Reid Inequality},
  author = {Souheyb Dehimi and Mohammed Hichem Mortad},
  journal= {arXiv preprint arXiv:1707.03320},
  year   = {2017}
}

Comments

10 pages

R2 v1 2026-06-22T20:43:40.463Z