2024-03-29T01:45:57Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/693212022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Backward shift invariant subspaces in the bidiscIzuchi, K.Nakazi, T.bidiscHardy spacebackward shiftinvariant subspacedouble commuting410Suppose that Tq, is a Toeplitz operator with a symbol 1> on the Hardy space H2 on the bidisc. Let N be a backward shift invariant subspace of H2, that is, N is an invariant subspace under r; and T:U. Let P be the orthogonal projection from H2 onto N. For 1> in H00 put Sq, = PTq,[N. In this paper, we give a characterization of a , backward shift invariant subspace which satisfies SzS SSz.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69321info:doi/10.14943/83717https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69321/1/pre572.pdfHokkaido University Preprint Series in Mathematics572182002-11engpublisher