EN
AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE
Abstract
In this paper, we investigate about the behavior of unbounded operators in Г-Hilbert Space. Here we discussed about the adjoint, self-adjoint, symmetric and other related properties of densely defined operator. We proof some related theorems and corollaries and will show the characterizations of this operators in Г -Hilbert Space.
Keywords
References
- Reference1 [1]A. Ghosh,A. Das and T.E. Aman(2017) Representation Theorem on Г-Hilbert Space,International Journal of Mathematics Trends and Technology,52(9):608-615.
- Reference2 [2] B.K. Lahiri, 1982.Elements Of Functional Analysis. The World Press Private Limited,Kolkata.
- Reference3 [3] B V Limaye .2013, second Edition ,FUNCTIONAL ANALYSIS,New age International (p)Limited,Publishers,Delhi,India.
- Reference4 [4] E.Kreyszig, 1978. Introductory Functional Analysis with applications, john wiley and sons.
- Reference5 [5] Garayev, M. T., Gürdal, M., & Saltan, S. (2017). Hardy type inequality for reproducing kernel Hilbert space operators and related problems. Positivity, 21(4), 1615-1623.
- Reference6 [6] Islam, S . (2020). On Some bounded Operators and their characterizations in Г-Hilbert Space. Cumhuriyet Science Journal, 41 (4) , 854-861 . DOI: 10.17776/csj.747393.
- Reference7 [7] John B. Conway .1996, A Course in Functional Analysis. Springer –Verlag New York, INC,USA.
- Reference8 [8] L.Debnath, Piotr Mikusinski, 1980. Introduction to Hilbert Space with applications, Academic Press,INC.New York,Toronto.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
October 10, 2021
Submission Date
April 20, 2021
Acceptance Date
September 9, 2021
Published in Issue
Year 2021 Volume: 3 Number: 2
APA
Islam, S. I. (2021). AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE. Ikonion Journal of Mathematics, 3(2), 1-8. https://doi.org/10.54286/ikjm.923786
AMA
1.Islam SI. AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE. ikjm. 2021;3(2):1-8. doi:10.54286/ikjm.923786
Chicago
Islam, Sahın Injamamul. 2021. “AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE”. Ikonion Journal of Mathematics 3 (2): 1-8. https://doi.org/10.54286/ikjm.923786.
EndNote
Islam SI (October 1, 2021) AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE. Ikonion Journal of Mathematics 3 2 1–8.
IEEE
[1]S. I. Islam, “AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE”, ikjm, vol. 3, no. 2, pp. 1–8, Oct. 2021, doi: 10.54286/ikjm.923786.
ISNAD
Islam, Sahın Injamamul. “AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE”. Ikonion Journal of Mathematics 3/2 (October 1, 2021): 1-8. https://doi.org/10.54286/ikjm.923786.
JAMA
1.Islam SI. AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE. ikjm. 2021;3:1–8.
MLA
Islam, Sahın Injamamul. “AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE”. Ikonion Journal of Mathematics, vol. 3, no. 2, Oct. 2021, pp. 1-8, doi:10.54286/ikjm.923786.
Vancouver
1.Sahın Injamamul Islam. AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE. ikjm. 2021 Oct. 1;3(2):1-8. doi:10.54286/ikjm.923786