Lattice properties of the *-order for complex matrices
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Publication:1164109
DOI10.1016/0022-247X(82)90228-1zbMath0485.15014MaRDI QIDQ1164109
Michael P. Drazin, Robert E. Hartwig
Publication date: 1982
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Miscellaneous inequalities involving matrices (15A45) Ordered rings, algebras, modules (06F25)
Related Items
The star order for idempotent operators, The minus partial order and the shorted matrix, On group inverses and the sharp order, Coherent and precoherent elements in Rickart *-rings, Infimum of a pair of matrices, The supremum of linear operators for the *-order, Lattice operations on Rickart ∗-rings under the star order, Extensions of the Fill–Fishkind formula and the infimum – parallel sum relation, Secondary transpose of matrix and generalized inverses, Star order on operator and function algebras and its nonlinear preservers, Star partial order on \(\mathcal{B}_{Id}(\mathcal{H})\), A note on star partial order preservers on the set of all variance-covariance matrices, Lattice properties of partial orders for complex matrices via orthogonal projectors, Shorted matrices in star and related orderings, The star partial order and the eigenprojection at 0 on EP matrices, Constructing projections on sums and intersections, Some properties on the star order of bounded operators, Extremal definitions of generalized inverses, Partial orders in non-commutative \(L^p\) spaces associated with semi-finite von Neumann algebras, Star order and partial isometries in \(C^\ast\)-algebras, Maximal elements under the three partial orders, LINEAR PRESERVERS FOR DRAZIN STAR PARTIAL ORDER, Hermitian semidefinite matrix means and related matrix inequalities—an introduction, A note on the star order in Hilbert spaces, Matrix partial orders through generalized inverses: Unified theory, A closed form formula for the intersection of two complex matrices under the star order, On the properties of weakly parallel summable operators, Automorphisms of Mn, partially ordered by the star order, Idempotency of the Hermitian part of a complex matrix, On the *-order for Rickart *-rings, Some relations of projection and star order in Hilbert space, Some closed form formulae for the intersection of two special matrices under the star order
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