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.

中文翻译：

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关于算子的联合正态性

运营商的m元组的研究是许多作者深入研究的主题。我们在这项工作中的目的是考虑将在Rhaly中完成的单个算子的正正规性概念（Posinormal算子。JMath Soc Jpn。1994; 46（4）：587-605）推广到m的联合正态性概念。复杂的希尔伯特空间上的-元组。我们研究了正算子m元组的一些基本性质。