One-sided star partial orders for bounded linear operators

DOI10.7153/oam-09-52zbMath1348.47003OpenAlexW2510017069MaRDI QIDQ2814827

Jānis Cīrulis

Publication date: 23 June 2016

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-09-52

zbMATH Keywords

orthomodular latticebounded linear operatorright-star orderorthogonal projection operatorleft-star orderleft-star orthogonalityright-star orthogonality

Mathematics Subject Classification ID

Partial orders, general (06A06) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Complemented lattices, orthocomplemented lattices and posets (06C15) Spaces of linear operators; topological tensor products; approximation properties (46A32)

Related Items (3)

The star order for idempotent operators ⋮ 1MP and MP1 inverses and one-sided star orders in a ring with involution ⋮ Lattice properties of partial orders for complex matrices via orthogonal projectors

Cites Work

• Left-star and right-star partial orderings
• On some characterizations of the partial orderings for bounded operators
• Lattice operations on Rickart ∗-rings under the star order
• Monotone transformations on B(H) with respect to the left-star and the right-star partial order
• Unnamed Item

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