p-Contraction and 2 x 2 matrix

T. Nakazi, Kimihiro Okubo · Institutional Repositories DataBase (IRDB) · 1998

In 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.

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