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Structure of Toeplitz-composition operators

Let $vp$ be a $L^infty$ function on the unit circle $Bbb T$ and
$ au$ be an elliptic automorphism on the unit disc $Bbb D$. In this paper, we will show that $T_vp C_ au$, i.e., the product of the Toeplitz operator $T_vp$ and the composition operator $C_ au$ on $H^2$, is similar to a block Toeplitz matrix if $ au$ has finite
order.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0214111-160521
Date14 February 2011
CreatorsSyu, Meng-Syun
ContributorsJeang Jyh-Shyang, Hwa-Long Gau, Mark C. Ho, Chia-Hsin Liu
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0214111-160521
Rightsunrestricted, Copyright information available at source archive

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