Operators with C ∗ -Algebra Generated by a Unilateral Shift

DOI10.2307/1999279zbMath0583.47027OpenAlexW4235203065MaRDI QIDQ3706020

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Publication date: 1984

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

Full work available at URL: https://doi.org/10.2307/1999279

zbMATH Keywords

Toeplitz operator\(C^*\)-algebra generated by a pure hyponormal operatorBrown-Douglas-Fillmore theory of unitary equivalence in the Calkin algebrahyponormal or subnormal operatorintrinsic characterization of those Hilbert space operators T for which the \(C^*\)-algebra generated by T is generated by a unilateral shift of some multiplicityself- commutator

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (4)

On subnormal operators ⋮ Subnormal and hyponormal generators of \(C^{*}\)-algebras ⋮ Principal functions for bi-free central limit distributions ⋮ \(C^*\)-algebras generated by subnormal operators

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