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Backward shift invariant subspaces in the bidisc
| Title: | Backward shift invariant subspaces in the bidisc |
| Authors: | Nakazi, T. Browse this author |
| Keywords: | bidisc | | Hardy space | | backward shift | | invariant subspace | | double commuting |
| Issue Date: | 1-Oct-2000 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 496 |
| Start Page: | 1 |
| End Page: | 9 |
| Abstract: | Suppose T<I> is a Toeplitz operator with a symbol <p on the Hardy space on the bidisc, H2. Let N be a backward shift invariant subspace of H2, that is, N is an invariant subspace under r; and r;.Let P be the orthogonal projection from H2 onto N. For </Jin H00 , put S</> = PT<t>JN. In this paper, we are interested in backward shift invariant subspaces which satisfy BzS:V = S!Sz. In particular, we show that SzS:V = S:VSz if N is of finite dimension. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69246 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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