Absolute continuity for operator valued completely positive maps on C∗-algebras

DOI10.1063/1.3072683zbMath1202.46064OpenAlexW2046739328MaRDI QIDQ3650433

A. Samil Kavruk, Aurelian Gheondea

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3072683

zbMATH Keywords

\(C^*\)-algebrasmatrix theoryprobability theoryabsolute continuityquantum informationoperator theoryalgebraic methodsoperator-valued completely positive maps

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative measure and integration (46L51) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15) Noncommutative function spaces (46L52)

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A Radon–Nikodým theorem for local completely positive invariant multilinear maps ⋮ On fractional Brownian motion and wavelets ⋮ Non-commutative measure theory: Henkin and analytic functionals on \(\mathrm{C}^*\)-algebras ⋮ C∗-extreme points of entanglement breaking maps ⋮ Partially defined operators on locally Hilbert spaces ⋮ A Lebesgue-type decomposition for non-positive sesquilinear forms ⋮ Closed embeddings of Hilbert spaces ⋮ Operators on anti-dual pairs: Lebesgue decomposition of positive operators ⋮ Lebesgue type decompositions for nonnegative forms

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