首页> 外文期刊>Turkish Journal of Analysis and Number Theory >On Irresolute Topological Vector Spaces-II
【24h】

On Irresolute Topological Vector Spaces-II

机译:关于非确定拓扑向量空间II

获取原文
           

摘要

In this paper, we continue the study of Irresolute topological vector spaces. Notions of convex, bounded and balanced set are introduced and studied for Irresolute topological vector spaces. Along with other results, it is proved that: 1. Irresolute topological vector spaces are semi-Hausdorff spaces. 2. Every Irresolute topological vector space is semi-regular space. 3. In Irresolute topological vector spaces, as well as is convex if is convex. 4. In Irresolute topological vector spaces, is bouned if is bounded. 5. In Irresolute topological vector spaces, is balanced if is balanced and 6. In Irresolute topological vector spaces, every semi compact set is bounded.
机译:在本文中,我们继续研究非确定性拓扑向量空间。介绍并研究了非确定拓扑向量空间的凸集,有界集和平衡集的概念。与其他结果一起证明:1.不确定拓扑向量空间是半Hausdorff空间。 2.每个非确定性拓扑向量空间都是半正则空间。 3.在非确定拓扑向量空间中,如果是凸的,则也是凸的。 4.在非确定性拓扑向量空间中,如果有界,则被绑定。 5.在“非确定性”拓扑向量空间中,如果为“平衡”,则为“平衡”。6.在“非确定性”拓扑向量空间中,每个半紧集都有界。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号