Article ID Journal Published Year Pages File Type
4623209 Journal of Mathematical Analysis and Applications 2007 10 Pages PDF
Abstract

In this paper normal and hyponormal operators with closed ranges, as well as EP operators, are characterized in arbitrary Hilbert spaces. All characterizations involve generalized inverses. Thus, recent results of S. Cheng and Y. Tian [S. Cheng, Y. Tian, Two sets of new characterizations for normal and EP matrices, Linear Algebra Appl. 375 (2003) 181–195] are extended to infinite-dimensional settings.

Related Topics
Physical Sciences and Engineering Mathematics Analysis