Alwanyi Kevin Shilaviga

Calculus of Orthogonal Projectors

Alwanyi Kevin Shilaviga, Achiles Nyongesa Simiyu & Olege Fanuel · Asian Research Journal of Mathematics · 2022

It is possible to express all geometric notions connected with closed linear subspaces in terms of algebraic properties of the orthoprojectors onto these linear spaces. In this paper, sufficient conditions for the calculus of a family of orthoprojectors in B(H) have been given wi...

Open access Research Article 10.9734/arjom/2022/v18i830394

Characterization of Orthogonal Projectors

Achiles Nyongesa Simiyu, Alwanyi Kevin Shilaviga & Olege Fanuel · Journal of Advances in Mathematics and Computer Science · 2022

Let H be a Hilbert space and M be a closed linear subspace of H. Then by projection theorem H = M ⊕ M ⊥ . This theorem suggests that the result has something to do about a notion in Hilbert spaces which is analogous to and a generalization of the familiar idea of Orthogonal or pe...

Open access Research Article 10.9734/jamcs/2022/v37i330440