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
Г-Hilbert Space Self -adjoint operator Normal Operator Positive Operator 2-Self- adjoint operator Spectrum
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.
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.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Natural Sciences |
| Authors | |
| Publication Date | December 29, 2020 |
| Submission Date | June 3, 2020 |
| Acceptance Date | December 3, 2020 |
| Published in Issue | Year 2020 |