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Joint m-quasihyponormal operators on a Hilbert space

Author name : HADI OBAID MOHAMMED ALSHAMMARI
Publication Date : 2021-05-26
Journal Name : Annals of Functional Analysis Springer

Abstract

In this paper, We introduce a new class of multivariable operators known as
joint m-quasihyponormal tuple of operators. It is a naturel extension of joint
normal and joint hyponormal tuples of operators. An m-tuple of operators
𝐒 = (S , ... , S ) ∈ B(H)m is said to be joint m-quasihyponormal tuple if 𝐒 satisfying for each finite collections (ul)1≤l≤m ∈ H. Some properties of this class of multivari-
able operators are studied.

Keywords

Hilbert space · Quasihyponormal · Joint hyponormal tuple · Joint normal tuple

Publication Link

https://link.springer.com/article/10.1007/s43034-021-00130-z

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