International Journal of Advanced Multidisciplinary Research and Studies
Volume 2, Issue 2, 2022
Characterization of derivations implemented by orthogonal projections in Hilbert Spaces
Author(s): IO Okwany, NB Okelo, O Ongati
Abstract:
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.
Keywords: Orthogonal Projections, Hilbert Spaces, Matrix
Pages: 149-160
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