On square roots of \(M\)-operators

DOI10.1016/0024-3795(94)00358-KzbMath0827.47018MaRDI QIDQ1894511

Ivo Marek

Publication date: 27 November 1995

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

zbMATH Keywords

cone order in a real Banach spacesquare roots of \(M\)-operators

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Functional calculus for linear operators (47A60) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (4)

Optimal rates of linear convergence of relaxed alternating projections and generalized Douglas-Rachford methods for two subspaces ⋮ Theoretical and computational properties of semi-infinite quasi-Toeplitz \(M\)-matrices ⋮ Unnamed Item ⋮ Comparison theorems for the convergence factor of iterative methods for singular matrices

Cites Work

• On the singularities of an analytic function with values in a Banach space
• On square roots of M-matrices
• Analytic functions ofM-matrices and generalizations
• Splittings ofM-operators: Irreducibility and the index of the iteration operator
• Frobenius Theory of Positive Operators: Comparison Theorems and Applications
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