α–almost similar operators
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Abstract
The study focuses on α–almost similar operator which is a new concept of the operator theory and also some basic concepts related to the concept α–almost similar.
The study also defines a new concept called which is an expansion of the concept and the relationship of this concept with the α–almost similar.
At the end of this research, we study some important relationships among similar, unitarily equivalent, and almost similar on the one hand and α–almost similar on the other.
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References
[1] Muhammed H. Mortad (2009). Yet more versions of the Fugled-Putnam theorem. Glasgow Math. J. 51: 473-480.
[2] Dehimi, S. (2017). Operators similar to their adjoints. D. Sc. Thesis, University of Oran1 Ahmed Ben Bella.
[3] Isaiah, N. S.; Sammi, W. M.; B. M. Nzimbi and Kikete W. D. (2015). A note on quasi-similarity in Hilbert spaces. International Journal of Math. Archive-6(7): 49-55.
[4] Berberian, S. K. (1961). Introduction to Hilbert space. Oxford university. Press, New York.
[5] I. N. Sitati; B. M. Nzimbi; Stephen L. and Jairus K. (2017). Remarks on A-skew-adjoint, A-almost similarity equivalence and other operators in Hilbert space. Pure and Applied Mathematics Journal, 6(3): 101-107
[6] Kipkemoi, T. S. (2016). On almost similarity and other related equivalence relations of operators in Hilbert spaces. M. Sc. Thesis, University of Nairobi.
[7] Jibril, A. A. (1996). On almost similar operators. Arabian J. Sci. Engrg., 21: 434-449.
[8] Campbell, S.L. and Gellar, R. (1977). Liner operators for which