Monotone transformations on B(H) with respect to the left-star and the right-star partial order

DOI10.7153/mia-17-43zbMath1320.47038OpenAlexW2087915426MaRDI QIDQ4980057

Janko Marovt, Alexander E. Guterman, Gregor Dolinar

Publication date: 20 June 2014

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-17-43

zbMATH Keywords

preserverstar partial orderminus partial orderleft-star partial orderright-star partial order

Mathematics Subject Classification ID

Partial orders, general (06A06) Linear operators on ordered spaces (47B60) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Related Items (13)

One-sided star partial order preservers on B(H) ⋮ The minus order and range additivity ⋮ Preservers of the left-star and right-star partial orders ⋮ Relatively orthocomplemented skew nearlattices in Rickart rings ⋮ 1MP and MP1 inverses and one-sided star orders in a ring with involution ⋮ Minus partial order in regular modules ⋮ Maps preserving the diamond partial order ⋮ On mappings preserving the sharp and star orders ⋮ Some orders for operators on Hilbert spaces ⋮ On sets of elements in Rickart rings induced by partial orders ⋮ Partial orders on the power sets of Baer rings ⋮ One-sided star partial orders for bounded linear operators ⋮ On some partial orders on a certain subset of the power set of rings

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