Numerical radii inequalities for derivations induced by orthogonal projections

Abstract

Let Hⁿ be a finite dimensional Hilbert space and δ_P,Q be a generalized derivation induced by the orthogonal projections P and Q. In this study, authors have approximated the norm of δ_P,Q and showed that δ_P,Q is bounded and is utmost equal to the sum of norms of P and Q. Authors have also considered the linearity and inequalities of in the context of tensor products. Finally, authors have determined the Hilbert-Schmidt and completely bounded norm inequalities for δ_P,Q.