摘要
本文讨论了L^2(X,∑,m)上的有界复合算子。得到了关于扩张复合算子谱的一个充要条件;讨论了各种类型的压缩复合算子;研究压缩或扩张算子是酉算子的条件。
In this paper composition operatrs are discussed. As a result of the discussion, a sufficient and necessary condition of the spectrum of dila-ting composition operators is obtained. Various kinds of contractive composition operators are also discussed, and the conditions that contractive ordilatng operators are anitary operators are studied too.
出处
《赣南师范学院学报》
1990年第3期1-6,共6页
Journal of Gannan Teachers' College(Social Science(2))
关键词
压缩算子
复合算子
谱
扩张算子
contractive operator, composition operator, contrative composition operator, spectrum.
