Acta Mathematica Vietnamica

Mixed invariant subspaces over the bidisk II
Kou Hei Izuchi, Kei Ji Izuchi

 

Abstract

For a mixed invariant subspace N of H2 under Tz and T*w , in the previous paper we studied the case rank[Vz,Vw]=1 and either dim(N⊖zN)=0 or 1. In this paper, we study the structure of N satisfying rank[Vz,Vw]=1 and dim(N⊖zN)=2. Our study is deeply concerned with the structure of nonextreme points in the closed unit ball of the space of one variable bounded analytic functions.

 

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