吉林大学学报（理学版）2016，Vol.54Issue(2)：161-166,6.DOI:10.13413/j.cnki.jdxblxb.2016.02.02
B（H）上的核偏序与对偶核偏序
Core Partial Order and Dual Core Partial Order on B(H)
摘要
Abstract
Let H be an infinite-dimensional complex Hilbert space and B (H )be the algebra of all bounded linear operators on H.We gave various characterizations of core partial order and dual core partial order.Then,using the method of operator block matrices,we gave the relationships between the core partial order,or the dual core partial order and minus partial order.Furthermore,we present the infimum A∧ B of A and B with respect to given orders.关键词
核偏序/对偶核偏序/算子分块矩阵/减偏序/下确界Key words
core partial order/dual core partial order/operator block matrice/minus partial order/infimum分类
数理科学引用本文复制引用
张喧佼,吉国兴..B（H）上的核偏序与对偶核偏序[J].吉林大学学报（理学版）,2016,54(2):161-166,6.基金项目
国家自然科学基金(批准号:11371233) （批准号:11371233）
