α次齐性算子的延拓与共鸣定理

Theorem on Extension and Resonance for Degree Homogeneous Operators

本文在实线性赋范“正交”空间上,对α次齐性算子在附加上“可加性”条件后获得了延拓定理。在实Banach空间的锥上,对α-凹算子获得了共鸣定理。

The theorem of extension for α-degree homogencous operators in real linear normed'orthogonal' space with subsidiary conditions of additivity, and the theorem of resonancefor α-concave operators on the cone of real Banach space are established respectively.