Characterization of derivations implemented by orthogonal projections in Hilbert Spaces

Let H ⁿ 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, we have approximated the norm of δ _P,Q by the formula || δP,Q ||= {∑| α |²}^1/2 + {∑| β|²} ^1/2 and also showed that δ _P,Q is bounded and positive || δ _P,Q  ||≥ 0 whenever P and Q are positive. Finally, we show compactness of δ _P,Q for compact operators P and Q.