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研究生:許孟勳
研究生(外文):Meng-Syun Syu
論文名稱:托普立茲-組合算子之結構
論文名稱(外文):Structure of Toeplitz-composition operators
指導教授:何宗軒何宗軒引用關係
指導教授(外文):Mark C. Ho
學位類別:碩士
校院名稱:國立中山大學
系所名稱:應用數學系研究所
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2011
畢業學年度:99
語文別:英文
論文頁數:21
中文關鍵詞:托普立茲算子方塊托普立茲矩陣方塊托普立茲托普立茲方塊矩陣
外文關鍵詞:block ToeplitzToeplitzblock matrixToeplitz operatorblock Toeplitz matrix
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假設 $vp$ 為單位圓周 $Bbb T$ 上的 $L^infty$ 函數且
$ au$ 是在圓盤 $Bbb D$ 上的橢圓 automorphism. 在本文中, 我們將會證明:如果 $ au$ 是有限階的,那麼 $T_vp C_ au$ 和一個方塊托普立茲矩陣是相似的.
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.
論文審定書...........................................i
中文摘要..............................................ii
英文摘要.............................................iii
Introduction.........................................1
Main result..........................................3
Bibliography.......................................5
A Background.....................................8
B The action $phi (A)=S^*AS$......11
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