Characterizations of normal, hyponormal and EP operators
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Publication:1001271
DOI10.1016/j.jmaa.2006.07.008zbMath1155.47303OpenAlexW1977188367MaRDI QIDQ1001271
Publication date: 17 February 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.008
Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
Related Items (23)
Weighted partial isometries and weighted-EP elements in \(C^{*}\)-algebras ⋮ Further results of special elements in rings with involution ⋮ On the normalized numerical range ⋮ Pseudo-generalized inverse and Drazin invertibility ⋮ On star-dagger matrices and the core-EP decomposition ⋮ Characterizations of EP matrices and weighted-EP matrices ⋮ Factorization of weighted-EP elements in \(C^{\ast }\)-algebras ⋮ New characterizations of EP, generalized normal and generalized Hermitian elements in rings ⋮ Characterizations of EP and normal Banach algebra elements and Banach space operators ⋮ On disjoint range operators in a Hilbert space ⋮ Factorizations of EP operators ⋮ Characterizations of m-EP elements in rings ⋮ Parallelism between Moore-Penrose inverse and Aluthge transformation of operators ⋮ On the invertibility of the operatorA-XB ⋮ Resolvent criteria for similarity to a normal operator with spectrum on a curve ⋮ Partial isometries and EP elements in Banach algebras ⋮ Representations of the Moore–Penrose inverse for a class of 2-by-2 block operator valued partial matrices ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ Factorization of EP elements inC*-algebras ⋮ EP elements in rings. ⋮ Moore-Penrose-invertible normal and Hermitian elements in rings. ⋮ Relative EP matrices ⋮ Unnamed Item
Cites Work
- On products of EP matrices
- 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
- Theorems on ascent, descent, nullity and defect of linear operators
- Wiegmann type theorems for EPr matrices
- Theorems on products of \(EP_{r}\) matrices
- Products of EP operators on Hilbert spaces
- On the Generalized Drazin Inverse and Generalized Resolvent
- EP Operators and Generalized Inverses
- The Index and the Drazin Inverse of Block Triangular Matrices
- Elements of C*-algebras commuting with their Moore-Penrose inverse
- Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
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