Lebesgue-type decomposition of positive operators

DOI10.1007/s11117-012-0206-4zbMath1291.47034arXiv1403.5489OpenAlexW2146332406MaRDI QIDQ369630

Zsigmond Tarcsay

Publication date: 19 September 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5489

zbMATH Keywords

singularityLebesgue decompositionclosabilitypositive operatorabsolute continuity

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Linear relations (multivalued linear operators) (47A06)

Related Items

On the mappings connected with parallel addition of nonnegative operators ⋮ Lebesgue type decompositions and Radon–Nikodym derivatives for pairs of bounded linear operators ⋮ On the parallel sum of positive operators, forms, and functionals ⋮ Shorting, parallel addition and form sums of nonnegative selfadjoint linear relations ⋮ On means of nonnegative sesquilinear forms ⋮ Remarks on absolute continuity of positive operators ⋮ Quasi-units as orthogonal projections ⋮ Lebesgue type decompositions for linear relations and Ando’s uniqueness criterion ⋮ Operators on anti-dual pairs: Lebesgue decomposition of positive operators ⋮ LEBESGUE DECOMPOSITION FOR REPRESENTABLE FUNCTIONALS ON *-ALGEBRAS ⋮ Maps preserving absolute continuity and singularity of positive operators ⋮ Absolute continuity of positive linear functionals ⋮ Radon-Nikodym theorems for nonnegative forms, measures and representable functionals

Cites Work

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• Operational calculus of linear relations
• Lebesgue type decompositions for nonnegative forms
• On a singular part of an unbounded operator
• A canonical decomposition for quadratic forms with applications to monotone convergence theorems
• Complement of forms
• Operator extensions with closed range
• A canonical decomposition for linear operators and linear relations
• On characteristic properties of singular operators
• Shorted Operators. II
• Quotients of Bounded Operators
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space

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