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Filomat 2007 Volume 21, Issue 1, Pages: 39-54
https://doi.org/10.2298/FIL0701039D
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Characterizing Hermitian, normal and EP operators

Đorđević Dragan S. (Department of Mathematics, Faculty of Sciences and Mathematics, Niš)
Koliha J.J. (Department of Mathematics and Statistics, The University of Melbourne, Australia)

In this paper further characterizations of Hermitian, normal and EP operators on Hilbert spaces are established. Thus the recent results of O. M. Baksalary and G. Trenkler (Linear Multilin. Algebra, to appear) are extended to the infinite dimensional setting with proofs based on operator matrices.

Keywords: Hermitian, normal and EP operators, Moore-Penrose and group inverse