Wandering subspaces and the Beurling type theorem, III

Kei-Ji Izuchi; Kou-Hei Izuchi; Yuko Izuchi

doi:10.2969/jmsj/06420627

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Wandering subspaces and the Beurling type theorem, III

Kei-Ji Izuchi, Kou-Hei Izuchi, Yuko Izuchi

著者情報

キーワード: Beurling type theorem, wandering subspace, invariant subspace, fringe operator

ジャーナルフリー

2012 年 64 巻 2 号 p. 627-658

DOI https://doi.org/10.2969/jmsj/06420627

詳細

抄録

Let H²(D²) be the Hardy space over the bidisk. Let {φ_n(z)}_{n ≥ 0} and {ψ_n(w)}_{n ≥ 0} be sequences of one variable inner functions satisfying some additinal conditions. Associated with them, we have a Rudin type invariant subspace M of H²(D²). We study the Beurling type theorem for the fringe operator F_w on M $¥ominus$ zM.