On (α,β)-Class (Q) Operators

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Date

2021-01-12

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Publisher

International Journal of Mathematics and its Applications

Abstract

In this paper, we introduce a new class of operator, the class of (α, β)-Class (Q) operator acting on a complex Hilbert space H. An operator T ∈ B(H) is said to be (α, β)-Class (Q) if α 2T∗2T 2 ≤ (T∗T) 2 ≤ β 2T ∗2T 2 for 0 ≤ α ≤ 1 ≤ β. We look at some properties that this class are privileged to enjoy.

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Keywords

Class (Q), Normal, (α, β)-normal, Hypernormal and (α, β)-Class (Q) operators

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