Bounds for the diamond partial order in ℬ(ℋ)

DOI10.1080/03081087.2019.1628912OpenAlexW2953141895MaRDI QIDQ4992650

Lili Yang, Guo Xing Ji

Publication date: 9 June 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1628912

zbMATH Keywords

minimal upper boundmaximal lower bounddiamond partial ordermonotone operator net

Mathematics Subject Classification ID

orders, general&go=Go Partial orders, general (06A06) operator inequalities&go=Go Linear operator inequalities (47A63)

Cites Work

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• Some properties on the star order of bounded operators
• The supremum of linear operators for the *-order
• Maps preserving the diamond partial order
• Star order and topologies on von Neumann algebras
• The diamond partial order for strong Rickart rings
• A note on the star order in Hilbert spaces
• The diamond partial order in rings

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