ON SOME INEQUALITIES FOR 𝜏 -MEASURABLE OPERATORS

Abstract

This paper deals with the Choi’s inequality for measurable operators affiliated with a given von Neumann algebra. Some Young and Cauchy-Schwarz type inequalities for 𝜏 -measurable operators are also given.

Keywords

• von neumann algebra
• positive operator
• noncommutative 𝐿𝑝-space
• young inequality
• cauchy-schwarz inequalit