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Properties of Operator Systems in Hilbert Spaces
Current Issue
Volume 3, 2015
Issue 5 (October)
Pages: 147-151   |   Vol. 3, No. 5, October 2015   |   Follow on         
Paper in PDF Downloads: 41   Since Sep. 23, 2015 Views: 1639   Since Sep. 23, 2015
Authors
[1]
N. B. Okelo, School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology, Bondo, Kenya.
Abstract
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.
Keywords
Resultant, Operator, Multiparameter System, Eigenvalue, Eigenvectors and Tensor Products
Reference
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