U-标算子的连续演算  

The Continuous Calculus of U-Scalar Operators

作　　者：孙万贵[1] 

机构地区：[1]西北大学数学系,西安710069

出　　处：《数学学报（中文版）》2004年第3期505-510,共6页Acta Mathematica Sinica：Chinese Series

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.

关 键 词：U-标算子 算子演算 有界性 

分 类 号：O177.2[理学—数学]