Bimonotone maps on semiprime Banach algebras

DOI10.1215/17358787-2018-0011OpenAlexW2892112778MaRDI QIDQ1790425

Yanyan Li

Publication date: 2 October 2018

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

Full work available at URL: https://projecteuclid.org/euclid.bjma/1536653148

zbMATH Keywords

Banach algebrasgeneralized inverselinear preserverssharp partial orderJordan homomorphism

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear operators on Banach algebras (47B48) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

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• On the \(\mathop\leq\limits^\sharp\)-order on the set of linear bounded operators in Banach space
• On mappings preserving the sharp and star orders
• Jordan mappings of semiprime rings
• Automorphisms of \(B(H)\) with respect to minus partial order
• On some characterizations of the star partial ordering for matrices and rank subtractivity
• The minus partial order and the shorted matrix
• On group inverses and the sharp order
• Generalization of sharp and core partial order using annihilators
• Automorphisms of the poset of skew projections
• Space pre-order and minus partial order for operators on Banach spaces
• Minus partial order in Rickart rings
• Automorphisms of Mn, partially ordered by the star order
• Maps on operators strongly preserving sharp order
• Natural structures on semigroups with involution
• Minus partial order and linear preservers
• Linear preservers for matrix inequalities and partial orderings

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