The Spectrum of Positive Operators on Hilbert Lattices  

作　　者：DENG Chun-yuan DU Hong-ke 

机构地区：[1]School of Mathematics Science, South China Normal University, Guangzhou 510631, China [2]College of Mathematics and Information Science, Shaanxi Normal University, Xi＇an 710631, China

出　　处：《Chinese Quarterly Journal of Mathematics》2007年第1期52-56,共5页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(19771056,10571113)

摘　　要：Some spectral characterizations of positive operators on Hilbert lattices are presented. The application of these results can yield some equivalent relations of an irreducible positive operator. Some related results for positive operators on Hilbert lattice are also obtained.

关 键 词：Hilbert lattice positive operator IDEAL IRREDUCIBLE OPERATOR 

分 类 号：O177.1[理学—数学]