Research Article

AN INVESTIGATION ON THE BEHAVIOUR OF UNBOUNDED OPERATORS IN Г-HILBERT SPACE

Volume: 3 Number: 2 October 10, 2021
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

  1. 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.
  2. Reference2 [2] B.K. Lahiri, 1982.Elements Of Functional Analysis. The World Press Private Limited,Kolkata.
  3. Reference3 [3] B V Limaye .2013, second Edition ,FUNCTIONAL ANALYSIS,New age International (p)Limited,Publishers,Delhi,India.
  4. Reference4 [4] E.Kreyszig, 1978. Introductory Functional Analysis with applications, john wiley and sons.
  5. 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.
  6. 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.
  7. Reference7 [7] John B. Conway .1996, A Course in Functional Analysis. Springer –Verlag New York, INC,USA.
  8. 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

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