Hilbert空间上有界线性算子的Wielandt不等式  

Wielandt Inequality for Bounded Linear Operator on Hilbert Space

作　　者：华波[1] 姜健飞[1] 

机构地区：[1]东华大学理学院,上海201620

出　　处：《东华大学学报（自然科学版）》2013年第3期391-394,共4页Journal of Donghua University(Natural Science)

摘　　要：Wielandt不等式是对Cauchy-Schwarz不等式的一种改进,在线性统计模型理论中有着重要的应用.将Wielandt不等式推广到无限维可分Hilbert空间上,并给出了Wielandt不等式的推广形式.The Wielandt inequality is an improvement on the Cauchy-Schwarz inequality, which has many important applications in the theory of linear statistical models. The Wielandt inequality is generalized to the separable infinite dimensional Hilbert space. In addition, a more general form of the Wielandt inequality is given.

关 键 词：HILBERT空间 正算子 完全正交规范系 WIELANDT不等式 

分 类 号：O177.1[理学—数学]