Submajorization and p-norm inequalities associated with -measurable operators

Abstract

The aim of this paper is to study the submajorization inequalities for -measurable operators in a semi-finite von Neumann algebra. The submajorization inequalities generalize some results due to Lee, Lin and Wolkowicz, etc. Some non-commutative norm inequalities are also given.

Keywords:

• Submajorization inequalities
• von Neumann algebras
• block operator matrices
• non-commutative -spaces

AMS Subject Classifications:

• 47A63
• 46L52

Acknowledgements

The author is grateful to the editor and the anonymous referee for making helpful comments and suggestions, which have been incorporated into this version of the paper.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported by Natural Science Foundation of the Xinjiang Uygur Autonomous Region [grant number 2016D01C074].