PARALLEL SUM OF UNBOUNDED POSITIVE OPERATORS

DOI10.2206/kyushujm.71.387zbMath1470.47005OpenAlexW2786004638MaRDI QIDQ4642756

Hideki Kosaki

Publication date: 25 May 2018

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.71.387

zbMATH Keywords

quadratic formparallel sumpositive formpositive self-adjoint operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Forms (bilinear, sesquilinear, multilinear) (47A07) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items

ABSOLUTE CONTINUITY FOR UNBOUNDED POSITIVE SELF-ADJOINT OPERATORS, Generalized parallel sum of adjointable operators on Hilbert C*-modules, Remarks on absolute continuity of positive operators, Channel divergences and complexity in algebraic QFT, Proper improvements of well-known perturbation estimations for the parallel sum, Norm inequalities for parallel sums of operators, Operators on anti-dual pairs: Lebesgue decomposition of positive operators, Pusz-Woronowicz functional calculus and extended operator convex perspectives, Connections of unbounded operators and some related topics: von Neumann algebra case

Cites Work

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• Parallel subtraction of nonnegative forms
• Lebesgue type decompositions for nonnegative forms
• Interpolation theory and the Wigner-Yanase-Dyson-Lieb concavity
• Operator valued weights in von Neumann algebras. I
• Relative entropy of states of von Neumann algebras
• Means of positive linear operators
• A canonical decomposition for quadratic forms with applications to monotone convergence theorems
• Majorizations and inequalities in matrix theory
• Series and parallel addition of matrices
• Lower semicontinuhy of positive quadratic forms
• ON INTERSECTIONS OF DOMAINS OF UNBOUNDED POSITIVE OPERATORS