Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772283 | Journal of Functional Analysis | 2017 | 33 Pages |
Abstract
The symbols of the generating Toeplitz operators are chosen to be suitable extensions to B2 of families S of bounded functions on D. Symbol classes S that generate important classical commutative and non-commutative Toeplitz algebras in L(Aμ2(D)) are of particular interest. In this paper we discuss various examples. In the case of S=C(Dâ¾) and S=C(Dâ¾)âLâ(0,1) we characterize all irreducible representations of the resulting Toeplitz operator Câ-algebras. Their Calkin algebras are described and index formulas are provided.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wolfram Bauer, Nikolai Vasilevski,