A short-type decomposition of forms

DOI10.7153/oam-09-47zbMath1347.47002arXiv1406.6635OpenAlexW1788911969MaRDI QIDQ2814822

Tamás Titkos, Zoltán Sebestyén, Zsigmond Tarcsay

Publication date: 23 June 2016

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6635

zbMATH Keywords

singularityLebesgue decompositionpositive operatorsabsolute continuitygeneralized shortnonnegative forms

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Noncommutative measure and integration (46L51) Positive linear operators and order-bounded operators (47B65) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items

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

Cites Work

• A Radon-Nikodym theorem for *-algebras
• A canonical decomposition for quadratic forms with applications to monotone convergence theorems
• Lebesgue decomposition of contents via nonnegative forms
• A functional analytic proof of the Lebesgue-Darst decomposition theorem
• Lebesgue Decomposition of States on a Von Neumann Algebra
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Shorted Operators
• Range Decomposition and Generalized Inverse of Nonnegative Hermitian Matrices
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