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l~∞上移位算子的不变理想
Invariant Ideals of Shift Operator on l~∞
【摘要】 对数列α={αk}k=0∞,记Sa={αk+1}k=0∞,则s是有界复数列空间上的有界线性算子,考虑S不变理想,用构造性方法给出S的一类不变理想及其之间的关系,并证明极大S-不变理想的存在性.
【Abstract】 For sequence α={αk}k=0∞,we wrote Sa={αk+1}k=0∞,then S was a bounded linear operator on the bounded complex column space.Considering the invariant ideals of S,using constructive method,we gave a class of invariant ideals of S and their relations,and proved the existence of maximal S-invariarnt ideals.
【关键词】 移位算子;
乘法线性泛函;
不变子空间;
有界数列空间;
【Key words】 shift operator; multiplicative linear function; invariant subspace; space of bounded sequences;
【Key words】 shift operator; multiplicative linear function; invariant subspace; space of bounded sequences;
【基金】 国家自然科学基金(批准号:11271150)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2017年02期
- 【分类号】O177.1
- 【下载频次】23