Welcome to Open Science
Contact Us
Home Books Journals Submission Open Science Join Us News
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: 40   Since Sep. 23, 2015 Views: 1561   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
[1]
Atkinson F.V. Multiparameter spectral theory. Bull. Amer. Math. Soc. 1968, 74, 1-27.
[2]
Browne P.J. Multiparameter spectral theory. Indiana Univ. Math. J, 24, 3, 1974.
[3]
Sleeman B.D. Multiparameter spectral theory in Hilbert space. Pitnam Press, London, 1978, p. 118.
[4]
Dzhabarzadeh R.M. Spectral theory of multiparameter system of operators in Hilbert space, Transactions of NAS of Azerbaijan, 1-2, 1999, 33-40.
[5]
Dzhabarzadeh R.M, Salmanova G.H. Multtiparameter system of operators, not linearly depending on parameters. American Journal of Mathematics and Mathematical Sciences. 2012, vol.1, No. 2.- p. 39-45.
[6]
Dzhabarzadeh R.M. Spectral theory of two parameter s system in finite-dimensional space. Transactions of NAS of Azerbaijan, v. 3-4 1998, p. 12-18.
[7]
Balinskii A.I. Generation of notions of Bezutiant and Resultant DAN of Ukr. SSR, ser. ph.-math and tech. of sciences, 1980,2. (in Russian).
[8]
Khayniq X. Abstract analog of Resultant for two polynomial bundles Functional analyses and its applications, 1977, 2, p. 94-95.
[9]
Dzhabarzadeh R.M. On existence of common eigen value of some operator-bundles, that depends polynomial on parameter. Baku. International Topology conference, 3-9 oct., 1987, Tez. 2, Baku, 1987, p.93.
[10]
John B.P. Tensor products and Multiparameter spectral theory in Hilbert space. Springer Verlag, New York, 2014, p.17.
Open Science Scholarly Journals
Open Science is a peer-reviewed platform, the journals of which cover a wide range of academic disciplines and serve the world's research and scholarly communities. Upon acceptance, Open Science Journals will be immediately and permanently free for everyone to read and download.
CONTACT US
Office Address:
228 Park Ave., S#45956, New York, NY 10003
Phone: +(001)(347)535 0661
E-mail:
LET'S GET IN TOUCH
Name
E-mail
Subject
Message
SEND MASSAGE
Copyright © 2013-, Open Science Publishers - All Rights Reserved