EN
On Some bounded Operators and their characterizations in Г-Hilbert Space
Abstract
Some bounded operators are part of this paper.Through this paper we shall obtain common properties of Some bounded operators in Г-Hilbert space. Also, introduced 2-self-adjoint operators and it’s spectrum in Г-Hilbert Space. Characterizations of these operators are also part of this literature.
Keywords
References
- [1] Aman T.E. and Bhttacharya D.K., Г-Hilbert Space and linear quadratic control problem,. Rev. Acad. Canar. Cienc; XV(Nums. 1-2)(2003)107-114.
- [2] Debnath L., Piotr Mikusinski. Introduction to Hilbert Space with applications, ,3rd ed, USA: Elsevier, 2005; 158-175.
- [3] Limaye.B V., Functional Analysis, 2nd ed., Delhi: New age International(p) Limited, 1996; 460-465. [4] Lahiri B.K., Elements Of Functional Analysis, .5th ed., Calcutta: The World Press, 2000.
- [5] Kreyszig E., Introductory Fuctional Analysis with applications, John Wiley and Sons, 1978; ch 3.
- [6] Sadiq Al-N., On 2-self-adjoint operators, Mathematical Theory and Modeling, 6(3)(2016) 125-128.
- [7] Jibril A.A.S, On 2- normal operators, Dirasat, 23 (1996).
- [8] Alabiso C., Ittay Weiss.A primer on Hilbert Space Theory , 1st ed., Switzerland: Springer, 2015; 158-159.
- [9] Conway J B., A Course in Functional Analysis, .2nd ed., USA: Springer, 1990:ch II.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
December 29, 2020
Submission Date
June 3, 2020
Acceptance Date
December 3, 2020
Published in Issue
Year 2020 Volume: 41 Number: 4
APA
Islam, S. I. (2020). On Some bounded Operators and their characterizations in Г-Hilbert Space. Cumhuriyet Science Journal, 41(4), 854-861. https://doi.org/10.17776/csj.747393
AMA
1.Islam SI. On Some bounded Operators and their characterizations in Г-Hilbert Space. CSJ. 2020;41(4):854-861. doi:10.17776/csj.747393
Chicago
Islam, Sahın Injamamul. 2020. “On Some Bounded Operators and Their Characterizations in Г-Hilbert Space”. Cumhuriyet Science Journal 41 (4): 854-61. https://doi.org/10.17776/csj.747393.
EndNote
Islam SI (December 1, 2020) On Some bounded Operators and their characterizations in Г-Hilbert Space. Cumhuriyet Science Journal 41 4 854–861.
IEEE
[1]S. I. Islam, “On Some bounded Operators and their characterizations in Г-Hilbert Space”, CSJ, vol. 41, no. 4, pp. 854–861, Dec. 2020, doi: 10.17776/csj.747393.
ISNAD
Islam, Sahın Injamamul. “On Some Bounded Operators and Their Characterizations in Г-Hilbert Space”. Cumhuriyet Science Journal 41/4 (December 1, 2020): 854-861. https://doi.org/10.17776/csj.747393.
JAMA
1.Islam SI. On Some bounded Operators and their characterizations in Г-Hilbert Space. CSJ. 2020;41:854–861.
MLA
Islam, Sahın Injamamul. “On Some Bounded Operators and Their Characterizations in Г-Hilbert Space”. Cumhuriyet Science Journal, vol. 41, no. 4, Dec. 2020, pp. 854-61, doi:10.17776/csj.747393.
Vancouver
1.Sahın Injamamul Islam. On Some bounded Operators and their characterizations in Г-Hilbert Space. CSJ. 2020 Dec. 1;41(4):854-61. doi:10.17776/csj.747393
Cited By
AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE
Ikonion Journal of Mathematics
https://doi.org/10.54286/ikjm.923786Spectral Theorem for Compact Self -Adjoint Operator in Γ -Hilbert space
Advances in the Theory of Nonlinear Analysis and its Application
https://doi.org/10.31197/atnaa.877757