The gdmp inverse of Hilbert space operators
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Publication:1650232
DOI10.4171/JST/207zbMath1392.15009MaRDI QIDQ1650232
Dragan S. Djordjević, Dijana Mosić
Publication date: 2 July 2018
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
Related Items (42)
Weighted MPCEP inverse of an operator between Hilbert spaces ⋮ The structures and properties of some generalized invertible operators ⋮ Properties of the CMP inverse and its computation ⋮ Outer-star and star-outer matrices ⋮ Representations and properties for the MPCEP inverse ⋮ Extensions of generalized core-EP inverse ⋮ Generalization of core-EP inverse for rectangular matrices ⋮ Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications ⋮ Generalizations of composite inverses with certain image and/or kernel ⋮ The CEPGD-inverse for square matrices ⋮ Weighted generalized Moore-Penrose inverse ⋮ GD1 inverse and 1GD inverse for bounded operators on Banach spaces ⋮ Common properties among various generalized inverses and constrained binary relations ⋮ Core–EP Star and Star Core–EP Operators ⋮ Quaternion Two-Sided Matrix Equations with Specific Constraints ⋮ Index-MP and MP-index matrices ⋮ Wg-Drazin-star operator and its dual ⋮ \(W\)-MPD-\(N\)-DMP-solutions of constrained quaternion matrix equations ⋮ Generalized core-EP inverse for square matrices ⋮ Weighted weak group inverse for Hilbert space operators ⋮ Core–EP pre-order of Hilbert space operators ⋮ Maximal classes of operators determining some weighted generalized inverses ⋮ Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses ⋮ Weak group inverse ⋮ On a new generalized inverse for Hilbert space operators ⋮ Composite outer inverses for rectangular matrices ⋮ Solvability of some constrained matrix approximation problems using core-EP inverses ⋮ EP-quasinilpotent decomposition and its generalizations ⋮ Representations for the weak group inverse ⋮ Weighted core–EP inverse of an operator between Hilbert spaces ⋮ MPD-DMP-solutions to quaternion two-sided restricted matrix equations ⋮ Weighted composite outer inverses ⋮ Expressions and properties of weak core inverse ⋮ Generalization of the Moore-Penrose inverse ⋮ Perturbation of the weighted core-EP inverse ⋮ Unnamed Item ⋮ Drazin-star and star-Drazin matrices ⋮ Weighted CMP inverse of an operator between Hilbert spaces ⋮ WEIGHTED CORE–EP INVERSE AND WEIGHTED CORE–EP PRE-ORDERS IN A -ALGEBRA ⋮ Weighted weak core inverse of operators ⋮ Characterizations and representations for the CMP inverse and its application ⋮ MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations
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