New characterizations of EP, generalized normal and generalized Hermitian elements in rings
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Publication:428064
DOI10.1016/j.amc.2011.12.030zbMath1251.15008OpenAlexW2077980071MaRDI QIDQ428064
Dijana Mosić, Dragan S. Djordjević
Publication date: 19 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.030
Drazin inverseMoore-Penrose inversegroup inversering with involutionEP elementsgeneralized Hermitian elementsgeneralized normal elements
Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (16)
Further results of special elements in rings with involution ⋮ Polynomially EP operators ⋮ EP elements and the solutions of equation in rings with involution ⋮ The class ofm-EPandm-normal matrices ⋮ The influence of the expression form of solutions to related equations on SEP elements in a ring with involution ⋮ Some new characterizations of a Hermitian matrix and their applications ⋮ On characterizations of special elements in rings with involution ⋮ Characterizations of partial isometries and two special kinds of EP elements ⋮ Characterizations of m-EP elements in rings ⋮ On a new generalized inverse for matrices of an arbitrary index ⋮ On a revisited Moore-Penrose inverse of a linear operator on Hilbert spaces ⋮ EP elements in rings with involution ⋮ EP elements and *-strongly regular rings ⋮ The Moore-Penrose inverse in rings with involution ⋮ Some characterizations of partial isometry elements in rings with involutions ⋮ Strongly EP elements in a ring with involution
Cites Work
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- On products of EP matrices
- Factorizations of EP operators
- Moore-Penrose inverse in rings with involution
- Characterizations of normal, hyponormal and EP operators
- EP elements in rings.
- Moore-Penrose-invertible normal and Hermitian elements in rings.
- Normal matrices
- Normal matrices: an update
- A simple proof of the product theorem for EP matrices
- Two sets of new characterizations for normal and EP matrices.
- Generalized inverses. Theory and applications.
- Semigroups of EP linear transformations
- On the Moore-Penrose inverse, EP Banach space operators, and EP Banach algebra elements
- Products of EP operators on Hilbert spaces
- Characterizing Hermitian, normal and EP operators
- Matrices for whichA∗andA†commute
- Pseudo-Inverses in Associative Rings and Semigroups
- Factorization of EP elements inC*-algebras
- Characterizations of EP, normal, and Hermitian matrices
- EP Operators and Generalized Inverses
- On generalized inverses in C*-algebras
- Elements of C*-algebras commuting with their Moore-Penrose inverse
- Elements of rings with equal spectral idempotents
- Matrix theory. Basic results and techniques
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