当前位置: X-MOL 学术J. Intell. Fuzzy Syst. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Induced L-bornological vector spaces and L-Mackey convergence 1
Journal of Intelligent & Fuzzy Systems ( IF 1.7 ) Pub Date : 2020-11-27 , DOI: 10.3233/jifs-201599
Zhen-yu Jin 1 , Cong-hua Yan 1
Affiliation  

Motivated by the concept of lattice-bornological vector spaces of J. Paseka, S. Solovyov and M. Stehlík, which extends bornological vector spaces to the fuzzy setting over a complete lattice, this paper continues to study the theory of L-bornological vector spaces. The specific description of L-bornological vector spaces is presented, some properties of Lowen functors between the category of bornological vector spaces and the category of L-bornological vector spaces are discussed. In addition, the notions and some properties of L-Mackey convergence and separation in L-bornological vector spaces are showed. The equivalent characterization of separation in L-bornological vector spaces in terms of L-Mackey convergence is obtained in particular.

中文翻译:

诱导的L-出生学向量空间和L-Mackey收敛1

受到J.Paseka,S.Solovyov和M.Stehlík的晶格-出生学矢量空间概念的启发,该理论将出生学矢量空间扩展到整个晶格上的模糊设定,本文继续研究L-胎教矢量空间理论。介绍了L-胎教向量空间的具体描述,讨论了L-函子在胎教向量空间类别与L-胎教向量空间类别之间的一些性质。此外,还展示了L-年龄学向量空间中L-Mackey收敛和分离的概念和一些性质。特别地,获得了根据L-Mackey收敛的L-出生学向量空间中的分离的等效特征。
更新日期:2020-11-27
down
wechat
bug