2024-03-28T11:59:39Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/691532022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116p-Contraction and 2 x 2 matrixNakazi, T.Okubo, K.p-dilationnumerical radiusmatrix410In this paper, the following is proved. When !al $ 1 and lbl $ 1, A = [ ; ・] is a p-contraction if and only if lcl2 + la-bl2 < inf {p + (1 -p )a(}{p + (1 -p )b(} -abl(l2 where D is the open unit disc.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69153info:doi/10.14943/83549https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69153/1/pre403.pdfHokkaido University Preprint Series in Mathematics403161998-02-01engpublisher