Multipliers of a wandering subspace for a shift invariant subspace

被引:0
作者
Nakazi, Takahiko [1 ]
机构
[1] Hokusei Gakuen Univ, Atsubetsu Ku, Sapporo, Hokkaido, Japan
关键词
Wandering subspace; Multiplier; Bidisc;
D O I
10.1016/j.jmaa.2010.10.036
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a shift-invariant subspace M of the two variable Hardy space H(2), we consider the associated wandering subspace M(0) = M circle minus zM. Then there exists a nonconstant function phi in H such that phi M(0) subset of M(0) if and only if M = qH(2) for some inner function q. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:251 / 252
页数:2
相关论文
共 2 条
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FISHER SD, 1973, J FUNCT ANAL, V12, P236
[2]   CERTAIN INVARIANT SUBSPACES OF H2 AND L2 ON A BIDISC [J].
NAKAZI, T .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1988, 40 (05) :1272-1280