取值于拓扑向量空间的准齐性算子族的共鸣定理

Resonance Theorems for Families of Quasi-Homogeneous Operators Taking Values in Topological Vector Spaces

中文关键词:  局部有界空间  共鸣定理  桶形空间  准齐性算子

英文关键词:locally bounded spaces  resonance theorem  barrelled spaces  quasi-homogeneous opera- tors

中文摘要:

      本文给出了取值于局部有界拓扑向量空间的准齐性算子族的共鸣定理,进而给出了从桶形 空间到一般局部凸空间的准齐性拟凸算子族的共鸣定理.

英文摘要:

      In this paper, we give a resonance theorem for families of quasi-homogeneous operators taking values in locally bounded topological vector spaces. Moreover, we give a resonance theorem for families of quasi-homogeneous, quasi-convex operators from barrelled spaces to locally convex spaces.