The symbols of the generating Toeplitz operators are chosen to be suitable extensions to B2 of families e9c10b" title="Click to view the MathML source">S of bounded functions on a1939c159e2717739dde9fbd" title="Click to view the MathML source">D. Symbol classes e9c10b" title="Click to view the MathML source">S that generate important classical commutative and non-commutative Toeplitz algebras in a0b92870e2dc47bd1f5"> are of particular interest. In this paper we discuss various examples. In the case of e5f13752e05d1a391135e630db690b9a"> and bc3f6164d8c5d53097bf83fed887a"> we characterize all irreducible representations of the resulting Toeplitz operator bc2d4370a8d4d35557d1cba9a54ff005" title="Click to view the MathML source">C⁎-algebras. Their Calkin algebras are described and index formulas are provided.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址:北京市海淀区学院路29号 邮编:100083 电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700 |