Abstract

The aim of this work is to introduce the concepts of left-(m, C)-invertibility and right (m, C)-invertibility related to a given complex conjugation operator C on a Hilbert space \(\mathcal {Y}\) . Some properties of these families of operators are given. In particular, we study the product and tensor product of some members of such families.

中文翻译：

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与复共轭运算符相关的运算符类

摘要

这项工作的目的是介绍与希尔伯特空间上给定的复共轭运算符C相关的左 ( m ,  C ) 可逆性和右 ( m ,  C ) 可逆性概念\(\mathcal {Y}\)。给出了这些算子族的一些性质。我们特别研究了此类家族中一些成员的乘积和张量乘积。