Some orders for operators on Hilbert spaces

DOI10.1016/j.amc.2015.11.059zbMath1410.47002OpenAlexW2214136941MaRDI QIDQ668920

Dragana S. Cvetković-Ilić, Dijana Mosić

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.11.059

zbMATH Keywords

Moore-Penrose inversegroup inversestar partial ordersharp partial orderminus partial orderdiamond order

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

On the minus partial order in control systems, Weighted G-Drazin inverses and a new pre-order on rectangular matrices, 1MP and MP1 inverses and one-sided star orders in a ring with involution, Moore-Penrose inverse and partial orders on Hilbert space operators, Maps preserving the diamond partial order, On sets of elements in Rickart rings induced by partial orders, Automorphisms on the poset of products of two projections, Sharp partial order and linear autonomous systems, Ordered matrices with nonnegative group projector

Cites Work

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• Left-star and right-star partial orderings
• A further algebraic version of Cochran's theorem and matrix partial orderings
• Automorphisms of \(B(H)\) with respect to minus partial order
• Group inverses and Drazin inverses over Banach algebras
• Continuity and general perturbation of the Drazin inverse for closed linear operators
• Generalized inverses. Theory and applications.
• Automorphisms of \(M_{n}\), partially ordered by rank subtractivity ordering
• Generalization of sharp and core partial order using annihilators
• Partial orders on \(\mathcal{B}(\mathcal{H})\)
• Space pre-order and minus partial order for operators on Banach spaces
• Core inverse of matrices
• Natural structures on semigroups with involution
• Monotone transformations on B(H) with respect to the left-star and the right-star partial order
• Automorphisms of K(H) with respect to the star partial order
• The diamond partial order in rings
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space