TRANS-SEPARABILITY IN THE STRICT AND COMPACT-OPEN TOPOLOGIES

被引：1

作者：

Khan, Liaqat Ali ^{[1
]}

机构：

[1] King Abdul Aziz Univ, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 04期

关键词：

topological vector spaces; vector-valued function spaces; strict topology; trans-separable spaces;

D O I：

10.4134/BKMS.2008.45.4.681

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a characterization of trans-separability for the function spaces (C-b (X, E), beta, (C (X, E), k) and (C-b, (X, E), u) in the case of E any general topological vector space.

引用

页码：681 / 687

页数：7

共 50 条

[31] Selection Principles in Function Spaces with the Compact-Open Topology
Osipov, Alexander V.
FILOMAT, 2018, 32 (15) : 5403 - 5413
[32] A Hilbert cube compactification of the function space with the compact-open topology
Kogasaka, Atsushi
Sakai, Katsuro
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2009, 7 (04): : 670 - 682
[33] Pseudo-completeness of the compact-open topology on C(X)
Kumar, Prashant
Garg, Pratibha
TOPOLOGY AND ITS APPLICATIONS, 2020, 277
[34] ABSOLUTE SCHAUDER BASES FOR C(X) WITH COMPACT-OPEN TOPOLOGY
COOK, TA
RUCKLE, WH
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 59 (01) : 111 - 114
[35] On the compact open and finest splitting topologies
Georgiou, D. N.
Iliadis, S. D.
TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (10) : 2110 - 2116
[36] Cech-completeness and related properties of the generalized compact-open topology
Hola, L'ubica
Zsilinszky, Laszlo
JOURNAL OF APPLIED ANALYSIS, 2010, 16 (01) : 151 - 169
[37] On separability of the functional space with the open-point and bi-point-open topologies
Osipov, A. V.
ACTA MATHEMATICA HUNGARICA, 2016, 150 (01) : 167 - 175
[38] On separability of the functional space with the open-point and bi-point-open topologies
A. V. Osipov
Acta Mathematica Hungarica, 2016, 150 : 167 - 175
[39] Completeness properties of the generalized compact-open topology on partial functions with closed domains
Holá, L
Zsilinszky, L
TOPOLOGY AND ITS APPLICATIONS, 2001, 110 (03) : 303 - 321
[40] Separability of Path Spaces under the Open-Point and Si-Point-Open Topologies
Jindal, Anubha
FILOMAT, 2021, 35 (07) : 2209 - 2213

← 1 2 3 4 5 →