2024-03-28T16:38:17Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/694572022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Backward shift invariant subspaces in the bidisc IIIIzuchi, KeijiNakazi, TakahikoSeto, Michio410In the previous paper, we give a characterization of backward shift invariant subspaces of the Hardy space in the bidisc which satisfy the doubly commuting condition S_z S_w^* = S_w^* S_z for the compression operators S_z and S_w. In this paper, we give a characterization of backward shift invariant subspaces satisfying S_z^2 S_w^* = S_w^* S_z^2.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69457info:doi/10.14943/83803https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69457/1/pre650.pdfHokkaido University Preprint Series in Mathematics6501212004engpublisher