q-Power Quasi Binormal Operator

Alaa Hussein  Mohammed

doi:10.34198/ejms.8222.337342

Alaa Hussein Mohammed Department of Mathematics, College of Education, University of Al-Qadisiyah, Diwaniya, Iraq

DOI: https://doi.org/10.34198/ejms.8222.337342

Keywords: normal operator, quasi normal operator, binormal operator, Hilbert space

Abstract

In this paper we introduce a new class of operators on Hilbert space called q-power quasi binormal operator. We study this operator and give some properties of it.

References

A. Brown, On a class of operators, Proc. Amer. Math. Soc. 4 (1953), 723-728. https://doi.org/10.1090/S0002-9939-1953-0059483-2

S. K. Berberian, Introduction to Hilbert Space, 2nd ed., Chelsea Publishing Co., New York, 1976.

Stephen L. Campbell, Linear operators for which T^* T and TT^* commute, Proc. Amer. Math. Soc. 34 (1972), 177-180. https://doi.org/10.2307/2037922

J. B. Conway, A course in functional analysis, Graduate Texts in Mathematics, 96, Springer-Verlag, New York, 1985. https://doi.org/10.1007/978-1-4757-3828-5

Ould Ahmed Mahmoud Sid Ahmed, On the class of n-power quasi-normal operators on Hilbert space, Bull. Math. Anal. Appl. 3(2) (2011), 213-228.

q-Power Quasi Binormal Operator

Abstract

References

Most read articles by the same author(s)

E-ISSN : 2581-8147