| Summary: In this thesis, Adjoint operators, Hermitian operators, Projection operators and Orthogonal projection operators on complex Hilbert spaces have been investigated.Using these basic informations, some fundamental and convergence properties of orthogonal projections have been mentioned and proved. And, finally, according to a periodic continuous unitary alpha representation of (R,+) group on complex Hilbert space, an orthogonal projection family {P_n} has been determined by means of ‘Riesz-Frechet Theorem’ on complex Hilbert spaces and some summability properties of these families are given.
Key Words: Orthogonal projections, Unitary representation, Hilbert spaces. |
