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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