Commutants of weighted shift directed graph operator algebras

DOI10.1090/proc/13477zbMath1380.47048arXiv1605.03758OpenAlexW3099017641MaRDI QIDQ5270148

David W. Kribs, Stephen C. Power, Rupert H. Levene

Publication date: 22 June 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03758

zbMATH Keywords

directed graphFock spacecommutantweighted shiftleft regular representationcreation operatorsnon-selfadjoint algebra

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Representations of (nonselfadjoint) operator algebras (47L55) Other nonselfadjoint operator algebras (47L75)

Related Items (3)

Complete systems of unitary invariants for some classes of 2-isometries ⋮ Unnamed Item ⋮ A solution to the Cauchy dual subnormality problem for 2-isometries

Cites Work

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• Matricial function theory and weighted shifts
• Isomorphisms of algebras associated with directed graphs
• The algebraic structure of non-commutative analytic Toeplitz algebras
• Multi-analytic operators on Fock spaces
• Weighted shifts on directed trees
• Non-selfadjoint double commutant theorems
• Wandering vectors and the reflexivity of free semigroup algebras
• A Class of Limit Algebras Associated with Directed Graphs
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• Tensor Algebras, Induced Representations, and the Wold Decomposition
• Isomorphisms of tensor algebras arising from weighted partial systems

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