赋准范空间上等度连续算子族的一致有界性  

About Uniform Boundness of Equicontinuous Operator Family in Quasi-Normed Space

作　　者：刘玉波[1] 

机构地区：[1]天津理工学院基础教育学院,天津300400

出　　处：《中山大学学报（自然科学版）》2002年第4期20-22,共3页Acta Scientiarum Naturalium Universitatis Sunyatseni

摘　　要：先给出赋 β_范空间上有界可加算子的范数 ,然后讨论了非局部有界的赋准范空间上等度连续算子族的一致有界性问题 ,得出在一般赋准范空间上等度连续算子族一致有界性的几个结果 ,从而把共鸣定理由赋 β_范空间推广到一般非局部有界的赋准范空间上。A norm of the bounded additive operator in the β_normed space is derived. Then, the uniform boundness of equicontinuous operator family in nonlocal bound quasi_normed space is discussed and several results are obtained about the uniform boundness of equicontinuous operator family in common quasi_normed space.Therefore the resonance theorem is extended from β_normed space to common nonlocal bound quasi_normed space.

关 键 词：赋准范空间 等离连续算子族 一致有界性 拟有界 赋Β-范空间 共鸣定理 有界可加算子 

分 类 号：O177.39[理学—数学]