Wandering vectors and the reflexivity of free semigroup algebras

DOI10.1515/CRELLE.2011.019zbMath1218.47136arXiv0909.3479MaRDI QIDQ3002714

Matthew Kennedy

Publication date: 24 May 2011

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/0909.3479

zbMATH Keywords

von Neumann algebrahyperreflexivitywandering vectorfree semigroup algebra

Mathematics Subject Classification ID

Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (13)

Operator theory on noncommutative polydomains. I. ⋮ Noncommutative rational Clark measures ⋮ Classification of Rota-Baxter operators on semigroup algebras of order two and three ⋮ Brown-Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs ⋮ Reflexivity of non-commutative Hardy algebras ⋮ The Hopf structure of some dual operator algebras ⋮ All finite transitive graphs admit a self-adjoint free semigroupoid algebra ⋮ Unnamed Item ⋮ Analytic functionals for the non-commutative disc algebra ⋮ Multi-Toeplitz operators and free pluriharmonic functions ⋮ Structure of free semigroupoid algebras ⋮ Nonself-adjoint $2$-graph algebras ⋮ Commutants of weighted shift directed graph operator algebras

Cites Work

• Unnamed Item
• Some invariant subspaces for subnormal operators
• Factorization theorems and the structure of operators on Hilbert space
• Interpolation problems in nest algebras
• Analyticity and flows in von Neumann algebras
• Hyper-reflexivity and the factorization of linear functionals
• Noncommutative transforms and free pluriharmonic functions
• Subalgebras of \(C^ *\)-algebras
• ℬ(ℋ) is a free semigroup algebra
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• Non-commutative disc algebras and their representations

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