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