A characterization of barrelledness of Cp(X)

S. Gabriyelyan

doi:10.1016/j.jmaa.2016.02.060

A characterization of barrelledness of C_p(X)

S. Gabriyelyan

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that, for a Tychonoff space X, the space C_p(X) is barrelled if and only if it is a Mackey group.

Original language	American English
Pages (from-to)	364-369
Number of pages	6
Journal	Journal of Mathematical Analysis and Applications
Volume	439
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2016.02.060
State	Published - 1 Jul 2016

Keywords

Barrelled space
C(X)
Locally quasi-convex group topology
Mackey group

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2016.02.060

Cite this

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title = "A characterization of barrelledness of Cp(X)",

abstract = "We prove that, for a Tychonoff space X, the space Cp(X) is barrelled if and only if it is a Mackey group.",

keywords = "Barrelled space, C(X), Locally quasi-convex group topology, Mackey group",

author = "S. Gabriyelyan",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

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AB - We prove that, for a Tychonoff space X, the space Cp(X) is barrelled if and only if it is a Mackey group.

KW - Barrelled space

KW - C(X)

KW - Locally quasi-convex group topology

KW - Mackey group

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