NDLI: Toeplitz operators on connected domains

Content Provider	Springer Nature Link
Author	Cao, Guangfu
Copyright Year	2006
Abstract	The proof of the index formula of the Toeplitz operator with a continuous symbol on the Hardy space for the unit circle in the complex plane depends on the Hopf theorem. However, the analogue result of the Hopf theorem does not hold on a general connected domain. Hence, the extension of the index formula of the Toeplitz operator on a general domain needs a method which is different from that for the case of the unit circle. In the present paper, the index formula of the Toeplitz operator with a continuous symbol on the finite complex connected domain in the complex plane is obtained, and the cohomology groups of Toeplitz algebras on general domains are discussed. In addition, the Toeplitz operators with symbols in QC are also discussed.
Starting Page	827
Ending Page	837
Page Count	11
File Format	PDF
ISSN	10069283
Journal	Science in China Series A: Mathematics
Volume Number	49
Issue Number	6
e-ISSN	18622763
Language	English
Publisher	Science in China Press
Publisher Date	2006-01-01
Publisher Place	Beijing
Access Restriction	Subscribed
Subject Keyword	connected domain Toeplitz operator Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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