2024-03-28T14:16:16Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/688672022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Invariant subspaces in the bidisc and commutatorsNakazi, Takahikoopen access410Let M be an invariant subspace of L2 (T2) on the bidisc. v1 and v2 denote the multiplication operators on M by coordinate functions z and w, respectively. In this paper we study the relation between M and the commutator of and V2. For example, M is studied when the commutator is self-adjoint or finite rank.Department of Mathematics, Hokkaido University1991-08engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83265http://hdl.handle.net/2115/6886710.14943/83265Hokkaido University Preprint Series in Mathematics120220https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68867/1/pre120.pdfapplication/pdf535.19 KB1991-08