On an Algebra of Toeplitz Operators With Piecewise Continuous Symbols |
| |
Authors: | Maribel Loaiza |
| |
Institution: | (1) Instituto de Matemáticas, UNAM, Area de la Investigación científica, Circuito Exterior, Ciudad Universitaria, Coyoacán, 04510 D.F. México, México |
| |
Abstract: | Let
and
be a finite collection of smooth curves in D. Given k points
consider the family
of all bounded and continuous functions on
with finite limits at
and radial limits at zk. We study the Toeplitz operator algebra
corresponding to Mr and we prove that its Calkin algebra is isomorphic to the algebra of all continuous functions on some compact set. This fact implies that the commutator of two Toeplitz operators with this kind of symbols is compact. We also prove that the semi-commutator of such Toeplitz operators is not compact, in general. |
| |
Keywords: | 47L80 |
本文献已被 SpringerLink 等数据库收录! |
|