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TOEPLITZ OPERATORS AND ALGEBRAS ON DIRICHLET SPACES
https://doi.org/10.1142/S0252959902000353Cited by:2 (Source: Crossref)
Abstract
The automorphism group of the Toeplitz C*- algebra, 
, generated by Toeplitz operators with C1-symbols on Dirichlet space 
is discussed; the K0, K1-groups and the first cohomology group of 
are computed. In addition, the author proves that the spectra of Toeplitz operators with C1-symbols are always connected, and discusses the algebraic properties of Toeplitz operators. In particular, it is proved that there is no nontrivial selfadjoint Toeplitz operator on 
and 
if and only if Tφ is a scalar operator.
Project supported by the National Natural Science Foundation of China.
Document Code A, Article ID 0252-9599(2002)03-0385-12
Keywords:
