Theory of operator means

DOI10.1007/BF01058906zbMath0718.47012OpenAlexW2051591468MaRDI QIDQ2639312

Yury M. Arlinskiĭ

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01058906

zbMATH Keywords

representationmeanoperator connectionsnon-negative bounded linear operatorsnon-negative operator monotone function

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Functional calculus for linear operators (47A60) Representation theory of linear operators (47A67)

Related Items (2)

On the mappings connected with parallel addition of nonnegative operators ⋮ Shorting, parallel addition and form sums of nonnegative selfadjoint linear relations

Cites Work

• Parallel summation, Maxwell's principle and the infimum of projections
• Functional calculus for sesquilinear forms and the purification map
• Characterization of operations derived from network connections
• Series and parallel addition of matrices
• On operator ranges
• Characterization of parallel subtraction
• Shorted Operators. II
• Monotone and Convex Operator Functions
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