Invariant Subspaces on $mathbb{T}^N$ and $mathbb{R}^N$

Canadian mathematical bulletin

关键词: invariant subspaces;   

DOI  :  10.4153/CMB-2004-011-5

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $N$ be an integer which is larger than one. In this paper westudy invariant subspaces of $L^2 (mathbb{T}^N)$ under the doublecommuting condition. A main result is an $N$-dimensional version ofthe theorem proved by Mandrekar and Nakazi. As an application of thisresult, we have an $N$-dimensional version of Lax's theorem.

【 授权许可】

Unknown