Some exact sequences for Toeplitz algebras of spherical isometries

DOI10.1090/S0002-9939-07-08893-4zbMath1129.47060arXivmath/0511340MaRDI QIDQ5308131

Bebe Prunaru

Publication date: 27 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0511340

zbMATH Keywords

Toeplitz operatorsToeplitz algebrasspherical isometrystrictly pseudoconvex domainsspectral inclusioncompletely positive projectioninjective operator spaces

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Operator spaces and completely bounded maps (46L07) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items

Dual Toeplitz operators on the sphere via spherical isometries ⋮ Toeplitz operators associated to commuting row contractions ⋮ On Schatten-class perturbations of Toeplitz operators ⋮ Multivariable isometries related to certain convex domains ⋮ Inner functions and spherical isometries ⋮ On the essential commutant of analytic Toeplitz operators associated with spherical isometries ⋮ Algebraic properties of Toeplitz operators on the symmetrized polydisk ⋮ Lifting fixed points of completely positive mappings ⋮ Toeplitz projections and essential commutants

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