广义拟可微函数Ⅰ:关于凸集对空间的某些结果

• 作 者: 张宏伟 张立卫 夏尊铨
• 机 构: Department of Mathematics, Dalian University of Technology, Dalian, 116024
• 出 处: 东北数学(英文版)
• 发表日期: 2003年1期
• 关键词: convex-set collection Riesz space quasi-differentiable function quasidifferentia

A Riesz space κ1 whose elements are pairs of convex-set collections is presented for the study on the calculus of generalized quasi-differentiable functions. The space κ1 is constructed by introducing a well-defined equivalence relation among pairs of collections of convex sets. Some important properties on the norm and operations in κ1 are given.