ON THE SET OF LOCALLY CONVEX TOPOLOGIES COMPATIBLE WITH A GIVEN TOPOLOGY ON A VECTOR SPACE: CARDINALITY ASPECTS

E. Martin-Peinador; V. Tarieladze

首页> 外文期刊>Journal of Mathematical Sciences >ON THE SET OF LOCALLY CONVEX TOPOLOGIES COMPATIBLE WITH A GIVEN TOPOLOGY ON A VECTOR SPACE: CARDINALITY ASPECTS

【24h】

ON THE SET OF LOCALLY CONVEX TOPOLOGIES COMPATIBLE WITH A GIVEN TOPOLOGY ON A VECTOR SPACE: CARDINALITY ASPECTS

机译：关于向量空间上给定拓扑的局部凸拓扑的集合：基数方面

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

For a topological vector space (X, τ), we consider the family LCT(X, τ) of all locally convex topologies defined on X, which give rise to the same continuous linear functionals as the original topology τ. We prove that for an infinite-dimensional reflexive Banach space (X, τ), the cardinality of LCT (X, τ) is at least c.

机译：对于拓扑向量空间（X，τ），我们考虑在X上定义的所有局部凸拓扑的族LCT（X，τ），这些族产生与原始拓扑τ相同的连续线性函数。我们证明对于无限维自反Banach空间（X，τ），LCT的基数（X，τ）至少为c。

著录项

来源
《Journal of Mathematical Sciences》 |2016年第4期|577-579|共3页
作者
E. Martin-Peinador; V. Tarieladze;
展开▼
作者单位

Universidad Complutense de Madrid, Madrid, Spain;

N. Muskhelishvili Institute of Computational Mathematics, Tbilisi, Georgia;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词

相似文献

外文文献
中文文献
专利

1. COMPATIBLE LOCALLY CONVEX TOPOLOGIES ON NORMED SPACES: CARDINALITY ASPECTS [J] . ELENAMARTíN-PEINADOR, ANATOLIJPLICHKO, VAJATARIELADZE Bulletin of the Australian Mathematical Society . 2017,第1期

机译：兼容规范空间的局部凸拓扑结构：基数方面
2. CERTAIN LOCALLY CONVEX TOPOLOGIES ON THE DISCRETE VECTOR-VALUED LEBESGUE SPACES [J] . Saeid Maghsoudi, Rasoul Nasr-Isfahani Periodica Mathematica Hungarica: Journal of the Janos Bolyai Mathematical Society . 2013,第2期

机译：离散向量值小空间上的某些局部凸拓扑
3. The space of vector-valued integrable functions under certain locally convex topologies [J] . Saeid Maghsoudi Mathematische Nachrichten . 2013,第2a3期

机译：某些局部凸拓扑下向量值可积函数的空间
4. Spatial-scaling-compatible morphological granulometries on locally convex topological vector spaces [C] . Eugene J. Kraus, Rochester Institute of Technology, Rochester, Image Algebra and Morphological Image Processing III . 1992

机译：局部凸拓扑向量空间上与空间尺度兼容的形态粒度
5. On the density of the Henig efficient points of asymptotically compact sets in locally convex vector spaces. [D] . Newhall, J. F. 2010

机译：关于局部凸向量空间中渐近紧集的Henig有效点的密度。
6. Theory of a Class of Locally Convex Vector Lattices Which Include the Lebesgue Spaces [O] . Witold M. Bogdanowicz 1970

机译：一类包括Lebesgue空间的局部凸向量格的理论
7. Mackey topology on locally convex spaces and on locally quasi-convex groups. Similarities and historical remarks [O] . Martin Peinador, E., Taieladze, V. 2016

机译：局部凸空间和局部拟凸群上的Mackey拓扑。相似之处和历史评论
8. Local and Global Topology Preservation in Locally Finite Sets of Tiles [R] . Saha, P. K. , Rosenfeld, A. 1998

机译：局部有限集瓦片中的局部和全局拓扑保持

ON THE SET OF LOCALLY CONVEX TOPOLOGIES COMPATIBLE WITH A GIVEN TOPOLOGY ON A VECTOR SPACE: CARDINALITY ASPECTS

摘要

著录项

相似文献

相关主题

期刊订阅