Star partial order on \(B(H)\)

DOI10.1016/j.laa.2010.08.023zbMath1214.47006OpenAlexW2039821840MaRDI QIDQ609507

Janko Marovt, Gregor Dolinar

Publication date: 1 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.08.023

zbMATH Keywords

Moore-Penrose inversestar partial orderminus partial orderidempotent operatorgeneralised inverse

Mathematics Subject Classification ID

Partial orders, general (06A06) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Special classes of linear operators (47B99) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (26)

Properties of the star supremum for arbitrary Hilbert space operators ⋮ Core inverse and core partial order of Hilbert space operators ⋮ The star order for idempotent operators ⋮ On star, sharp, core, and minus partial orders in Rickart rings ⋮ Unnamed Item ⋮ Monotone maps on matrices of index one ⋮ The minus order and range additivity ⋮ Star, left-star, and right-star partial orders in Rickart ∗-rings ⋮ Lattice operations on Rickart ∗-rings under the star order ⋮ On partial orders in Rickart rings ⋮ On the star and minus orders on Hilbert space operators ⋮ On partial orders of operators ⋮ GD1 inverse and 1GD inverse for bounded operators on Banach spaces ⋮ Star order automorphisms on the poset of type 1 operators ⋮ On disjoint range operators in a Hilbert space ⋮ Star order on JBW algebras ⋮ On mappings preserving the sharp and star orders ⋮ Relationships between DMP relation and some partial orders ⋮ Partial orders in non-commutative \(L^p\) spaces associated with semi-finite von Neumann algebras ⋮ Left and right generalized Drazin invertible operators on Banach spaces and applications ⋮ Partial orders on the power sets of Baer rings ⋮ Order properties of generalized projections ⋮ On partial orders of Hilbert space operators ⋮ On some partial orders on a certain subset of the power set of rings ⋮ Nonlinear maps on von Neumann algebras preserving the star order ⋮ Partial orders on \(\mathcal{B}(\mathcal{H})\)

Cites Work

• Matrix partial orders through generalized inverses: Unified theory
• Automorphisms of \(B(H)\) with respect to minus partial order
• On some characterizations of the star partial ordering for matrices and rank subtractivity
• Natural structures on semigroups with involution
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Star partial order on \(B(H)\)