Joint m-quasihyponormal operators on a Hilbert space
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