科研之友
微信
新浪微博
Facebook
分享链接
摘要
An n-tuple of operators (V-1, ..., V-n) acting on a Hilbert space H is said to be isometric if the operator [V-1 circle dot V-n]:H-n -%26gt; H is an isometry. We prove a decomposition for an isometric tuple of operators that generalizes the classical Lebesgue-von Neumann-Wold decomposition of an isometry into the direct sum of a unilateral shift, an absolutely continuous unitary and a singular unitary. We show that, as in the classical case, this decomposition determines the weakly closed algebra and the von Neumann algebra generated by the tuple.
- 出版日期2013-5
