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On Some bounded Operators and their characterizations in Г-Hilbert Space

Year 2020, Volume: 41 Issue: 4, 854 - 861, 29.12.2020
https://doi.org/10.17776/csj.747393

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.

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.
  • [10] Young N., An Introduction to Hilbert Space, 14th printing, Cambridge:, Cambridge University Press, 1998; 21-23.
  • [11] Carlos S. Kubrusly.Spectral Theory of Bounded Linear Operators, New york,USA: Springer, 2012; Ch 1.
  • [12] Bryan P.Rynne and Martin A. Youngson. Linear Functional Analysis, 2nd ed., London: Springer, 2008: Ch 3.
Year 2020, Volume: 41 Issue: 4, 854 - 861, 29.12.2020
https://doi.org/10.17776/csj.747393

Abstract

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.
  • [10] Young N., An Introduction to Hilbert Space, 14th printing, Cambridge:, Cambridge University Press, 1998; 21-23.
  • [11] Carlos S. Kubrusly.Spectral Theory of Bounded Linear Operators, New york,USA: Springer, 2012; Ch 1.
  • [12] Bryan P.Rynne and Martin A. Youngson. Linear Functional Analysis, 2nd ed., London: Springer, 2008: Ch 3.
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Natural Sciences
Authors

Sahın Injamamul Islam 0000-0002-8587-7922

Publication Date December 29, 2020
Submission Date June 3, 2020
Acceptance Date December 3, 2020
Published in Issue Year 2020Volume: 41 Issue: 4

Cite

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