论文标题
Sugeno-Lorentz空间的拓扑和拓扑线性特性
Topological and topological linear properties of the Sugeno-Lorentz spaces
论文作者
论文摘要
Sugeno集成函数空间的属性与Lebesgue集成函数的普通空间完全不同。本文的目的是进一步推进我们对Sugeno-Lorentz空间的研究,其中讨论了空间的完整性和可分离性。作为我们先前研究的延续,在本文中,详细研究了Sugeno-Lorentz空间的一些基本拓扑和拓扑线性特性。
The properties of the spaces of Sugeno integrable functions are quite different from those of the ordinary spaces of Lebesgue integrable functions. The purpose of the paper is to further advance our study of the Sugeno-Lorentz spaces, in which the completeness and separability of the spaces were discussed. As a continuation of our previous research, in this paper, some fundamental topological and topological linear properties of the Sugeno-Lorentz spaces are investigated in detail.