Lebesgue type decompositions for linear relations and Ando’s uniqueness criterion

DOI10.14232/actasm-018-757-0zbMath1424.47007arXiv1801.01392OpenAlexW2964011811WikidataQ128830233 ScholiaQ128830233MaRDI QIDQ4615273

Zoltán Sebestyén, Hassi, Seppo, Hendrik S. V. de Snoo

Publication date: 1 February 2019

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01392

zbMATH Keywords

closabilityregular relationsuniqueness of decompositions(weak) Lebesgue type decompositionsdomination of relations and operatorssingular relations

Mathematics Subject Classification ID

Structure theory of linear operators (47A65) Linear relations (multivalued linear operators) (47A06)

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Cites Work

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• Radon-Nikodym theorems for nonnegative forms, measures and representable functionals
• Lebesgue-type decomposition of positive operators
• Decomposition of quotients of bounded operators with respect to closability and Lebesgue-type decomposition of positive operators
• Operational calculus of linear relations
• Form sums of nonnegative selfadjoint operators
• Lebesgue type decompositions for nonnegative forms
• On a singular part of an unbounded operator
• Decomposition of unbounded derivations in operator algebras
• Unbounded operators: Perturbations and commutativity problems
• A canonical decomposition for quadratic forms with applications to monotone convergence theorems
• Factorizations of linear relations
• On the mappings connected with parallel addition of nonnegative operators
• A canonical decomposition for linear operators and linear relations
• On operator ranges
• A short-type decomposition of forms
• Factorization, majorization, and domination for linear relations
• Monotone convergence theorems for semi-bounded operators and forms with applications
• Componentwise and Cartesian decompositions of linear relations
• The basic propositions on defect numbers, root numbers and indices of linear operators
• Lebesgue type decompositions and Radon–Nikodym derivatives for pairs of bounded linear operators
• Arlinskii's Iteration and its Applications
• Functional analysis

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