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

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

10 Scopus citations

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	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

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2016.02.060

Cite this

@article{ec719bc8993040238b50a0eef733b118,

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",

month = jul,

day = "1",

doi = "10.1016/j.jmaa.2016.02.060",

language = "English",

volume = "439",

pages = "364--369",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - A characterization of barrelledness of Cp(X)

AU - Gabriyelyan, S.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - We prove that, for a Tychonoff space X, the space Cp(X) is barrelled if and only if it is a Mackey group.

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

UR - http://www.scopus.com/inward/record.url?scp=84960499519&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2016.02.060

DO - 10.1016/j.jmaa.2016.02.060

M3 - Article

AN - SCOPUS:84960499519

SN - 0022-247X

VL - 439

SP - 364

EP - 369

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -