Position: Home > Articles > The Generalization of Lyapunov Theorem
Journal of Southwest University(Natural Science Edition)
2009,31
(10)
113-115
Lyapunov定理的推广
作 者:
连铁艳;杨勇;成立花
单 位:
陕西科技大学理学院;西安工程大学理学院
关键词:
Lyapunov定理;惯性;自伴算子
摘 要:
在无穷维复可分希尔伯特空间中,利用算子论的技巧,对通常所说的第一惯性定理和第二惯性定理进行了推广.
译 名:
The Generalization of Lyapunov Theorem
作 者:
LIAN Tie-yan1,YANG Yong1,CHENG Li-hua21.Faculty of Science,Shaanxi University of Science&Technology,Xi'an 710021,China;2.College of Science,Xi'an Polytechnic University,Xi'an 710048,China
关键词:
Lyapunov theorem;inertia;self-adjoint operator
摘 要:
Using the operator techniques,the general first and second Lyapunov theorems are extended in Hilbert spaces,which are infinite-dimensional and complex-separable.