局部β-凸空间中的f-齐次嵌入子空间及其最佳逼近性质

F-homogeneous Imbedded Subspaces in Locally β-Convex Spaces and its Approximation Property

本文在局部β-凸空间中,对一类具φ-齐性的β-凸泛涵f,引进了f-齐次嵌入子空间的概念,并得到了它们是f-切比雪夫子空间的充要条件等。

We introduced the concept of f-hmogeneous imbedded subspaces in Locally β -Convex Spaces for some β-Convex functionals f having φ- homogeneity,obtainedthe necessary and sufficient conditions of their being f -Chebyshev etc.