Infinite Dimensional Compound Operator Equation in Hilbert Space  

作　　者：柏灵 王克 

机构地区：[1]Institute of Mathematics Jilin University, Changchun, 130012 [2]Department of Mathematics Northeast Normal University, Changchun, 130024

出　　处：《Northeastern Mathematical Journal》2005年第1期95-104,共10页东北数学（英文版）

基　　金：The NNSF (10171010 and 10201005) of China Major Project of Education Ministry (01061) of China.

摘　　要：In this article, we consider compound matrices and compound operator equations in a Hilbert space. First, we recall some concepts and main results introduced by Muldowney and by Roger Temam. After that we establish the rule of compound matrices in a Hilbert space, and obtain the expression of solution to a compound operator equation by using the method of operator semigroup. Our brief results generalize the corresponding results in a finite space.In this article, we consider compound matrices and compound operator equations in a Hilbert space. First, we recall some concepts and main results introduced by Muldowney and by Roger Temam. After that we establish the rule of compound matrices in a Hilbert space, and obtain the expression of solution to a compound operator equation by using the method of operator semigroup. Our brief results generalize the corresponding results in a finite space.

关 键 词：exterior product multilinear operator compound equation operator semigroup 

分 类 号：O177.1[理学—数学]