EP-quasinilpotent decomposition and its generalizations

DOI10.1007/s13398-021-01083-7OpenAlexW3201274341MaRDI QIDQ2240438

Dijana Mosić, Janko Marovt, Gregor Dolinar

Publication date: 3 November 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01083-7

zbMATH Keywords

Hilbert spacepartial ordercore-EP inversegeneralized Drazin inverseEP operator

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of linear operators (47A99) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items

On 2MP-, MP2- and C2MP-inverses for rectangular matrices

Cites Work

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• Core-EP decomposition and its applications
• Reverse order laws for the Drazin inverses
• Weighted pre-orders involving the generalized Drazin inverse
• The gdmp inverse of Hilbert space operators
• On some new pre-orders defined by weighted Drazin inverses
• Generalized inverses. Theory and applications.
• Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations
• Characterizations and maximal classes of elements related to pseudo core inverses
• Further results on weighted core-EP inverse of matrices
• Characterizations, approximation and perturbations of the core-EP inverse
• Determinantal representations of the core inverse and its generalizations with applications
• Core and core-EP inverses of tensors
• The pseudo core inverse of a lower triangular matrix
• Weighted CMP inverse of an operator between Hilbert spaces
• Several types of one-sided partial orders in rings
• Maximal classes of matrices determining generalized inverses
• Properties of core-EP order in rings with involution
• Weighted pre-orders in a Banach algebra
• Ray pattern of Drazin inverses of some matrices
• On a partial order defined by the weighted Moore-Penrose inverse
• The class ofm-EPandm-normal matrices
• Pseudo-Inverses in Associative Rings and Semigroups
• A Natural Partial Order for Semigroups
• Natural structures on semigroups with involution
• A generalized Drazin inverse
• Revisiting the core EP inverse and its extension to rectangular matrices
• Pseudo core inverses in rings with involution
• Weighted core–EP inverse of an operator between Hilbert spaces
• New additive results for the g-Drazin inverse
• WEIGHTED CORE–EP INVERSE AND WEIGHTED CORE–EP PRE-ORDERS IN A -ALGEBRA
• On some orders in ∗-rings based on the core-EP decomposition
• *-DMP elements in *-semigroups and *-rings
• Three limit representations of the core-EP inverse
• EP-nilpotent decomposition and its applications
• Core–EP inverse