Similarity and ergodic theory of positive linear maps

DOI10.1515/crll.2003.069zbMath1043.47013arXivmath/0310113OpenAlexW2963198736MaRDI QIDQ4422795

Gelu Popescu

Publication date: 24 August 2003

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310113

zbMATH Keywords

ergodic theoremslifting theoremsPoisson transformationsCuntz-Toeplitz \(C^{\star}\)-algebraspositive linear maps on \(B(H)\)

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Functional calculus for linear operators (47A60) Positive linear operators and order-bounded operators (47B65) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (17)

Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\) ⋮ Fixed points of completely positive maps and their dual maps ⋮ Toeplitz operators associated to commuting row contractions ⋮ Progress in noncommutative function theory ⋮ Joint similarity in admissible noncommutative polydomains ⋮ Similarity problems in noncommutative polydomains ⋮ Free holomorphic functions and interpolation ⋮ Free pluriharmonic majorants and commutant lifting ⋮ Operator theory on noncommutative domains ⋮ Free holomorphic functions on the noncommutative polydomains and universal models ⋮ Noncommutative Berezin transforms and multivariable operator model theory ⋮ A class of general quantum operations ⋮ Representations of Hardy algebras: Absolute continuity, intertwiners, and superharmonic operators ⋮ Characteristic functions and joint invariant subspaces ⋮ Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem ⋮ Lifting fixed points of completely positive mappings ⋮ The outer spectral radius and dynamics of completely positive maps

Cites Work

• Unnamed Item
• Similarity problems and completely bounded maps

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