On the \(\mathop\leq\limits^\sharp\)-order on the set of linear bounded operators in Banach space

DOI10.1134/S0001434613050167zbMath1303.47003OpenAlexW1989011567MaRDI QIDQ358181

M. A. Efimov

Publication date: 16 August 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434613050167

zbMATH Keywords

Hilbert spaceidempotentBanach spacegroup inverse matrixindex of a matrixlinear bounded operatormatrix \(\mathop\leq\limits^\sharp\)-ordermatrix \(\overline\leq\)-order

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (3)

Moore-Penrose inverse and partial orders on Hilbert space operators ⋮ Bimonotone maps on semiprime Banach algebras ⋮ Generalization of sharp and core partial order using annihilators

Cites Work

• Automorphisms of \(B(H)\) with respect to minus partial order
• On group inverses and the sharp order
• Partial orders based on outer inverses
• On the matrix equation \(Ax =\lambda Bx\)
• On the group-inverse of a linear transformation
• The natural partial order on a regular semigroup
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