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A trace inequality for non-commuting hyponormal tuples

International Journal of Mathematical Analysis, 2022
We introduce the class of almost right hyponormal and almost jointly hyponormal multi-operators and give a sufficient condition for some “commutator” associated to such multi-operators to belong to the trace class.
Vasile Lauric
semanticscholar   +1 more source

On unitary invariance of some classes of operators in Hilbert spaces

, 2020
It is a known fact in operator theory that two similar operators have equal spectra but they do not necessarily have to belong to the same class of operators.
L. Muhati, J. M. Khalagai
semanticscholar   +1 more source

Quasi-Diagonal Operators

Sarajevo Journal of Mathematics
Let $H$ be a separable complex Hilbert space and let $B(H)$ denote the algebra of all bounded linear operators on $H.$ If $T$ is a quasi-normal Fredholm operator we prove that $TT^*\in (QD)(P_n)$ if and only if $T^*T\in (QD)(P_n).$ We also show that if ...
M. Lohaj, S. Lohaj
semanticscholar   +1 more source

Skew n-binormal operators

International Journal of Mathematical Analysis, 2019
In this paper we introduce the class of skew n-binormal operators acting on an Hilbert space . An operator T ∈ B(H) is skew n-binormal operator if it satisfies the condition (T ∗TnTnT ∗)T = T (TnT ∗T ∗Tn).
K. Rasimi   +3 more
semanticscholar   +1 more source

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