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The class of D(T)–operators on Hilbert space | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، Special Issue، اسفند 2021، صفحه 1293-1298 اصل مقاله (327.97 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5645 | ||
| نویسنده | ||
| Elaf S Abdulwahid* | ||
| Tikrit University – College of Education for Women/ Department of Mathematics, Iraq | ||
| تاریخ دریافت: 22 تیر 1400، تاریخ بازنگری: 28 مرداد 1400، تاریخ پذیرش: 11 شهریور 1400 | ||
| چکیده | ||
| The purpose of this paper is to introduce a new class operator on separable Hilbert space. The operator T ∈ B(H) is called D(T)-operator if there exist U ∈ B(H), U≠0, I such that T*TU = UT*T, where T* adjoint operator of T. Then, some main properties of the class of D(T)-operator are studied in this research. | ||
| کلیدواژه‌ها | ||
| D(T)-operator؛ quasi-normal operator؛ The sepctrum of normal oprator؛ Hilbert space | ||
| مراجع | ||
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[1] D. Alpay, F. Colombo and D.P. Kimsey, The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum, J. Math. Phys. 57(2) (2018). [2] S.K. Berberian, Introduction to Hilbert Space, Chelsea Publishing Company, New York, 1976. [3] R.P. Bryan and M.A. Youngson, Linear Functional Analysis, Springer-Verlag, London, 2008. [4] P.R. Halmos, A Hilbert Space Problem Book, Springer-Verlag, New York Heidelberg Berlin, 1980. [5] S. Lohaj, Quasi-normal operators, Int. J. Math. Anal. 4(47) (2010) 2311–2320. [6] Z. Sebestyen and Z.S. Tarcsay, On the adjoint of Hilbert space operators, Linear Multi Linear Alg. 67(3) (2019) 625–645. [7] N. Young, An Introduction to Hilbert Space, Cambridge University Press, 2012. | ||
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