On diamond partial order, one-sided star partial orders, and 1MP-inverses

DOI10.1007/s13398-024-01645-5MaRDI QIDQ6619523

Nestor Janier Thome, María Valeria Hernández, Marina B. Lattanzi

Publication date: 16 October 2024

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

zbMATH Keywords

diamond orderone-sided star partial orderMP1-inverses

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)

Cites Work

• Unnamed Item
• Star partial order on \(B(H)\)
• A further algebraic version of Cochran's theorem and matrix partial orderings
• On some characterizations of the star partial ordering for matrices and rank subtractivity
• Maps preserving the diamond partial order
• Generalized inverses. Theory and applications.
• From projectors to 1MP and MP1 generalized inverses and their induced partial orders
• Several types of one-sided partial orders in rings
• Partial orders on \(\mathcal{B}(\mathcal{H})\)
• On partial orders of operators
• 1MP and MP1 inverses and one-sided star orders in a ring with involution
• Matrix Tricks for Linear Statistical Models
• Linear Algebra and Linear Models
• Generalized Inverses of Linear Transformations
• The diamond partial order in rings
• On some generalized inverses and partial orders in ∗-rings

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