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.
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