2024-03-29T01:08:22Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/693412022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Backward shift invariant subspaces in the bidisc IIIzuchi, K.Nakazi, T.Seto, M.open accessBackward shift invariant subspacesthe Hardy space in the bidisc410For every invariant subspace NI in the Hardy spaces H2 (f2 ), let Vz and Vw be mulitplication operators on AL Then it is known that the condition Vz V; v;vz on NI holds if and only if J;I is a Demling type invariant subspace. For a backward shift invariant subspace N in H2(f2), two operators Sz and Sw on N are defined by Sz = PN LzPN and Sw = PN Lw PN, where PN is the orthogonal projection from L2(f2) onto N. It is given a characterization of N satisfying szs1:J = s1:JsZ on N.Department of Mathematics, Hokkaido University2003-05engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83737http://hdl.handle.net/2115/6934110.14943/83737Hokkaido University Preprint Series in Mathematics592117https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69341/1/pre592.pdfapplication/pdf710.69 KB2003-05