Multipliers of a wandering subspace for a shift invariant subspace

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:377

Article

Nakazi, Takahiko

关键词: Wandering subspace;    Multiplier;    Bidisc;   

DOI  :  10.1016/j.jmaa.2010.10.036

来源: Elsevier

【 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.

【 授权许可】

Free