On joint posinormality of operators

Abstract

The study of m-tuples of operators was the subject of intensive research by many authors. Our aim in this work is to consider a generalization of the concept of posinormality of a single operator done in Rhaly (Posinormal operators. J Math Soc Jpn. 1994;46(4):587–605) to the concept of joint posinormality for m-tuples of operators on a complex Hilbert space. We study some of the basic properties of posinormal m-tuples of operators.

Keywords:

• Hilbert space
• bounded operator
• posinormal operator
• joint posinormal operators

2010 Mathematics Subject Classification:

• Primary 47B20

Acknowledgments

The authors would like to thank the anonymous reviewers for valuable and helpful comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.