On positive invertibility of operators and their decompositions

DOI10.1002/mana.200810846zbMath1190.47039OpenAlexW2022697796MaRDI QIDQ3643561

Martin R. Weber

Publication date: 9 November 2009

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200810846

zbMATH Keywords

ordered Banach spacepositive decompositionpositively invertible operatoruniformly positive linear functional

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40)

Related Items

Generalizations of matrix monotonicity and their relationships with certain subclasses of proper splittings ⋮ \(B_D\)-splittings of matrices ⋮ \(M\)-operators on partially ordered Banach spaces

Cites Work

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• Nonnegative Moore--Penrose inverses of operators over Hilbert spaces
• On positive invertibility of matrices
• On the Positiveness of the Inverse Operator
• On invertibility and positive invertibility of matrices
• Invertibility and positive invertibility of integral operators in \(L^\infty\)