Operator means and networks

DOI10.1007/BF01199903zbMath0737.47017MaRDI QIDQ1175030

Jonathan Arazy

Publication date: 25 June 1992

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

networkpositive operatorssymmetric meansfamily of operator means in any number of verticesweighted arithmetic averages of weighted harmonic means

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Circuits, networks (94C99)

Cites Work

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• Symmetric function means of positive operators
• Real and complex interpolation methods for finite and infinite families of Banach spaces
• Parallel summation, Maxwell's principle and the infimum of projections
• A theory of complex interpolation for families of Banach spaces
• Functional calculus for sesquilinear forms and the purification map
• Characterization of operations derived from network connections
• Generalized s-numbers of \(\tau\)-measurable operators
• Interpolation of several Banach spaces
• Series and parallel addition of matrices
• Shorted Operators. II
• PARALLEL ADDITION AND PARALLEL SUBTRACTION OF OPERATORS
• Shorted Operators

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