Wiegmann type theorems for EPr matrices

Katz, Irving J.

doi:10.1215/s0012-7094-65-03242-4

Cited by 16 publications

(5 citation statements)

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“…There are many characterization of Hermitian, normal and EP operators (see, for example [1,2,5,7,8,9,11,12,14,16,17,18,19]. In this note we extend the results obtained for complex matrices by O. M. Baksalary and G. Trenkler [1] to closed range operators on an arbitrary Hilbert space.…”

Section: Introductionmentioning

confidence: 68%

Characterizing Hermitian, normal and EP operators

Djordjevic

Koliha

2007

Filomat

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Section: Introductionmentioning

confidence: 68%

Characterizing Hermitian, normal and EP operators

Djordjevic

Koliha

2007

Filomat

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“…The notion of EP operators is well known (see [2,3,[6][7][8][9][16][17][18][19][20]) If A is an EP operator, then A † is also the Drazin inverse of A, or, more precisely, the group inverse of A (see [3, pp. 156 and 163]).…”

Section: Introductionmentioning

confidence: 99%

Characterizations of normal, hyponormal and EP operators

Djordjević

2007

Journal of Mathematical Analysis and Applications

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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.

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“…The following result is a version for EP (M,N ) matrices of the Theorem 4.3.1 in [5] and a result by Katz [12].…”

Section: Some Properties Of Ep (Mn ) Matricesmentioning

confidence: 82%