M-hyponormality in several variables operator theory

Abstract

Abstract In recent years, the study of bounded linear operators in several variables has received great interest from many authors, including the second author’s previous contributions. In our present work, we define a new class of multivariable operator theory, which we have called M-hyponormal tuple. We present some algebraic and spectral properties associated with them.

Keywords

• M-hyponormal
• Joint normal operators
• Joint hyponormal operators