On means of nonnegative sesquilinear forms

DOI10.1007/s10474-014-0416-2zbMath1340.47035OpenAlexW2063983772MaRDI QIDQ397057

Tamás Titkos

Publication date: 14 August 2014

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-014-0416-2

zbMATH Keywords

positive operatorfinitely additive measuresingular partparallel sumalmost dominated partnonnegative sesquilinear formGaussian meangeometric mean, harmonic meanLebesgue-type decomposition

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Positive linear operators and order-bounded operators (47B65) Quadratic and bilinear forms, inner products (15A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (2)

A generalized Schur complement for nonnegative operators on linear spaces ⋮ Operators on anti-dual pairs: Lebesgue decomposition of positive operators

Cites Work

• On the parallel sum of positive operators, forms, and functionals
• Erratum to: ``Complement of forms
• Lebesgue-type decomposition of positive operators
• Parallel subtraction of nonnegative forms
• Lebesgue type decompositions for nonnegative forms
• Parallel summation, Maxwell's principle and the infimum of projections
• Functional calculus for sesquilinear forms and the purification map
• Means of positive linear operators
• Ando's theorem for nonnegative forms
• Lebesgue decomposition of contents via nonnegative forms
• Complement of forms
• Averaged norms
• Series and parallel addition of matrices
• Characterization of parallel subtraction
• On the Lebesgue decomposition of positive linear functionals
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