摘要
本文给出了U-标算子经连续算子演算后有界的充分条件。另外,对一给定的U-标算子T,证明了当函数μ(t)连续可导时算子μ(T)有界,但存在连续函数使得μ(T)无界。
The sufficient conditions are given for the continuous calculus of U-scalar
operators to be bounded. And for a certain U-scalar operator T, we prove that operator
u(T) is bounded if u′(t) is continuous. Yet there exists a continuous function u(t) such
that u(T) is unbounded.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2004年第3期505-510,共6页
Acta Mathematica Sinica：Chinese Series
关键词
U-标算子
算子演算
有界性
U-scalar operator
Continuous calculus
Boundedness
