Core inverse and core partial order of Hilbert space operators

DOI10.1016/j.amc.2014.06.112zbMath1335.47002OpenAlexW1986091974MaRDI QIDQ278339

Dragan S. Djordjević, Nebojša Č. Dinčić, Dragan S. Rakić

Publication date: 2 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.112

zbMATH Keywords

Moore-Penrose inversepartial ordergroup inversespectral propertycore inversecore partial order

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Regular factorizations and perturbation analysis for the core inverse of linear operators in Hilbert spaces ⋮ The structures and properties of some generalized invertible operators ⋮ Star, sharp, core and dual core partial order in rings with involution ⋮ Revisiting of the BT-inverse of matrices ⋮ Displacement structure of the core inverse ⋮ The minus order and range additivity ⋮ The weak core inverse ⋮ Additive perturbations and multiplicative perturbations for the core inverse of bounded linear operator in Hilbert space ⋮ Core inverse in Banach algebras ⋮ Further characterizations of the weak group inverse of matrices and the weak group matrix ⋮ The Core-EP, Weighted Core-EP Inverse of Matrices and Constrained Systems of Linear Equations ⋮ Common properties among various generalized inverses and constrained binary relations ⋮ Core invertibility of operators from the algebra generated by two orthogonal projections ⋮ Partial orders based on core-nilpotent decomposition ⋮ Characterizations of the weighted core-EP inverses ⋮ New characterizations for core inverses in rings with involution ⋮ Yang-Baxter-Like Matrix Equation: A Road Less Taken ⋮ Further results on weighted core inverse in a ring ⋮ The core inverse of a product and \(2\times 2\) matrices ⋮ Core–EP pre-order of Hilbert space operators ⋮ Revisitation of the core inverse ⋮ Relationships between DMP relation and some partial orders ⋮ Weighted core–EP inverse of an operator between Hilbert spaces ⋮ Remark on the core-EP pre-order of Hilbert space operators ⋮ Characterizations, approximation and perturbations of the core-EP inverse ⋮ Characterizations of k-commutative equalities for some outer generalized inverses ⋮ Characterizations and representations of the core inverse and its applications ⋮ Core and core-EP inverses of tensors ⋮ On the continuity and differentiability of the (dual) core inverse in C*-algebras ⋮ The core inverse and constrained matrix approximation problem ⋮ Hua's identity for the \(\{1, 2\}\)-inverse ⋮ On the intrinsic structure of the solution set to the Yang-Baxter-like matrix equation ⋮ Optimal perturbation bounds for the core inverse ⋮ Partial orders on \(\mathcal{B}(\mathcal{H})\) ⋮ New classes of more general weighted outer inverses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Star partial order on \(B(H)\)
• Some more properties of core partial order
• Automorphisms of \(B(H)\) with respect to minus partial order
• Generalized inverses. Theory and applications.
• Space pre-order and minus partial order for operators on Banach spaces
• Characterizing Hermitian, normal and EP operators
• Core inverse of matrices
• Note on the core matrix partial ordering
• On partial orders of Hilbert space operators
• Inverses of Rank Invariant Powers of a Matrix

This page was built for publication: Core inverse and core partial order of Hilbert space operators