Invariant subspaces of certain sub Hilbert spaces of $H^{2}$

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Niteesh Sahni¹  Dinesh Singh¹ 

[1] Department of Mathematics, University of Delhi

关键词: Invariant subspaces;    Blaschke factor;    inner function;    wold decomposition.;   

DOI  :  10.3792/pjaa.87.56

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

Recently Yousefi and Hesameddini [13] have obtained a characterization for shift invariant subspaces of a special class of Hilbert spaces contained in the Hardy space $H^2$. In the present note we settle an open problem posed by them in their paper. In fact, by discussing invariance under multiplication by finite Blaschke factors we prove a far more general result than the main result of [13]. We prove our results under much weaker assumptions than the assumptions of [13] and with a simpler proof.

【 授权许可】

Unknown