A fixed point theorem and a norm inequality for operator means

DOI10.1016/S0024-3795(98)10218-5zbMath0931.15018MaRDI QIDQ1300901

Jaspal Singh Aujla

Publication date: 22 February 2000

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

zbMATH Keywords

fixed pointsgeometric meannorm inequalitySchatten \(p\)-normspectral normoperator connectioncone of positive operatorstransformer inequalityunitarily invariant operator norm

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

Some singular value inequalities

Cites Work

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• Ladder networks, fixpoints, and the geometric mean
• Parallel summation, Maxwell's principle and the infimum of projections
• Characterization of operations derived from network connections
• Means of positive linear operators
• Some operator equalities involving connections and means
• Comparison of norms \(|||f(A)-f(B)|||\) and \(|||f(|A-B|)|||\)
• Series and parallel addition of matrices
• Concavity of monotone matrix functions of finite order
• The generalized spectral radius, numerical radius and spectral norm
• Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices
• Shorted Operators. II
• Analysis 1

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