摘要
本文将广义按范γ-拟次加算子族的一致有界原理与凸泛函族的一致有界原理作了统一与推广.
The notions of uniform boundness principle which have been used to treat either for the family generalized norm γ-quasi subadditive operators or for the family of convex functionals are systematically studied and apt to be unified. Since the idea of a norm is also a kind of functionals,so in this paper a new approach is attempted to workout a general form of a family of functionals for which principle of uniform boundness is established and which has extended considerably some former results.
出处
《数学进展》
CSCD
北大核心
1996年第5期449-455,共7页
Advances in Mathematics(China)
基金
国家自然科学基金
关键词
一致有界原理
凸泛函数
泛函数
线性空间
uniform boundedness principle
generalized norm γ-quasi subadditive operators
convex functionals
(f(α,β), σ)-functionals