发表刊物：Submitted

摘要：In this paper we characterize almost invariant subspaces of the shift operators on vector-valued space. Firstly, we establish the Beurling-Lax-Halmos Theorem for almost invariant subspaces, that is, a characterization of almost invariant subspaces of the backward shift $S_E^*$ on the vector-valued Hardy space $H^2_E$. Secondly, we establish a complete characterization for almost invariant subspaces of the bilateral shift $B_E$ on the vector-valued $L^{2}$ space whose scalar-valued version largely answers the question posed by Chalendar-Gallardo-Partington in 2020.

合写作者：Caixing Gu, In Sung Hwang, Woo Young Lee, Pan Ma

论文类型：期刊论文

学科门类：理学

一级学科：数学

文献类型：J

是否译文：否