报告题目:Power Set of Some Quasinilpotent weighted shifts
报告简介:For a quasinilpotent operator T, write
for each nonzero vector x. Set
and call it the power set of T. This notation was introduced by Douglas and Yang. They showed that for
is a linear subspace invariant under each A commuting with T; hence, if there are two different points
are closed, then T has a nontrivial hyperinvariant subspace. It is natural to consider the following questions: which subsets can be the power set of a quasinilpotent operator? Is
closed? I will talk something about
and the closeness of
.
报告人:纪友清,吉林大学教授,博士生导师,长期从事算子理论与算子代数研究,主持多项国家自然科学基金项目及教育部高等学校博士点专项基金等项目,在Trans. Amer. Math.、 J. Funct. Anal.、J.Operator Theory等国内外期刊上发表了重要学术论文。曾获霍英东教育基金会青年教师奖、2004年入选教育部新世纪优秀人才支持计划。
报告时间:2021年12月16日下午2:30--6:00(周四)
报告地点:腾讯会议,ID: 388632170
主办单位:扬州大学数学科学学院
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