2024-03-29T12:33:02Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/693442022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Invariant subspaces of finite codimension and uniform algebrasNakazi, T.Osawa, T.uniform algebraQ-algebrafinite dimensioninvariant subspaceideal410Let A be a uniform algebra on a compact Hausdorff space X and m a probability measure on X. Let HP (m) be the norm closure of A in £P (m) with 1 :Sp< oo and H∞ (m) the weak * closure in L∞ (m). In this paper, we describe a closed ideal of A and a closed invariant subspace of HP (m) which is of finite codimension.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69344info:doi/10.14943/83740https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69344/1/pre595.pdfHokkaido University Preprint Series in Mathematics595162003-07engpublisher