高师理科学刊Issue(4):7-9,3.DOI:10.3969/j.issn.1007-9831.2014.04.003
关于Banach共轭算子和Hilbert共轭算子的讨论
Discussion on Banach conjugate operator and Hilbert conjugate operator
摘要
Abstract
Banach conjugate operator and Hilbert conjugate operator are two very important concepts in functional analysis. Hilbert space is a special Banach space,but the conjugate operator in Hilbert space does not follow the definition of conjugate operator in Banach space,and thevast majority textbooks don′t explain the reasons for this definition.Described the reason why conjugate operator in Hilbert space does not follow the definition of conjugate operator in Banach space,and discussed the relationship between the two operators.关键词
Banach共轭算子/Hilbert共轭算子/对偶空间/有界线性算子Key words
Banach conjugate operator/Hilbert conjugate operator/dual space/bounded linear operator分类
数理科学引用本文复制引用
杨纪华,李艳秋..关于Banach共轭算子和Hilbert共轭算子的讨论[J].高师理科学刊,2014,(4):7-9,3.基金项目
国家自然科学基金项目(11301263);宁夏自然科学基金项目(NZ13213);宁夏师范学院本科教学工程项目三、四期 ()