On star, sharp, core, and minus partial orders in Rickart rings

DOI10.1215/17358787-3607090zbMath1351.16038OpenAlexW2410795754MaRDI QIDQ307000

Janko Marovt

Publication date: 1 September 2016

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1465230960

zbMATH Keywords

bounded linear operatorstar partial ordercore partial ordersharp partial orderRickart ring

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Ordered rings, algebras, modules (06F25)

Related Items (6)

On a weighted core inverse in a ring with involution ⋮ Weighted G-Outer Inverse of Banach Spaces Operators ⋮ On sets of elements in Rickart rings induced by partial orders ⋮ Orders in rings based on the core-nilpotent decomposition ⋮ WEIGHTED CORE–EP INVERSE AND WEIGHTED CORE–EP PRE-ORDERS IN A -ALGEBRA ⋮ Weighted weak core inverse of operators

Cites Work

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• Star partial order on \(B(H)\)
• Automorphisms of \(B(H)\) with respect to minus partial order
• On group inverses and the sharp order
• A note on the group structure of unit regular ring elements
• Generalization of sharp and core partial order using annihilators
• Remarks on the sharp partial order and the ordering of squares of matrices
• Further properties on the core partial order and other matrix partial orders
• Star, left-star, and right-star partial orders in Rickart ∗-rings
• On partial orders in Rickart rings
• Minus partial order in Rickart rings
• Core inverse of matrices
• Natural structures on semigroups with involution

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