两类泛函族一致有界原理的统一与推广

The Unity and Generalization of the Uniform Boundedness Principles for Two Families of Functionals

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.