Properties of Operator Systems in Hilbert Spaces
[1]
N. B. Okelo, School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology, Bondo, Kenya.
Tensor products, operator systems and spectral theory of operators form a very important focal point in functional analysis. The objective of this study has been to characterize the properties of operator systems and subsystems in Hilbert spaces. The methodology involved the use of tensor products, eigenvalues and eigenvectors. The results obtained show that operator systems in Hilbert spaces can be divided into subsystems without altering their structures. The results are significant in applications in quantum mechanics.
Resultant, Operator, Multiparameter System, Eigenvalue, Eigenvectors and Tensor Products
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