On Skew Class (BQ) Operators

Abstract

The class of Skew (BQ) operators acting complex Hilbert on an separable H is introduced in this paper. An operator if K ∈L (H) is said to belong to class Skew (BQ) if K commutes with a (BQ) operator, that is, [K∗2K2 (K∗K) 2] K = K [(K∗K) 2 K∗2K2]. We explore some properties that this class is enriched with. We then scan the relation of this class to other classes and then oversimplify it to the class of Skew (nBQ).