On the structure of some nonlinear maps in prime *-rings
Mohammad Siddeeque,
Abbas Shikeh,
Raof Bhat
Abstract:The objective of this paper is to introduce the notion of skew Lie
centralizers in *-rings, and to investigate the structure of skew Lie
centralizers and strong skew commutativity preserving maps in prime *-rings
without assuming the existence of a symmetric idempotent and the unital
element. As an application, we shall characterize such maps in different
operator algebras.
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