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A CHARACTERIZATION IN CLOSED IDEALS OF C(X)

Authors :
Raghavendran, R.
Sakthi, R.
Source :
Tamsui Oxford Journal of Information and Mathematical Sciences. June 28, 2018, Vol. 32 Issue 1, p50, 6 p.
Publication Year :
2018

Abstract

In this paper, we establish the characterization of closed ideals of C(X) in terms of the topology on X. We also discuss an application of multiplicative linear functionals on C(X). Key words and phrases. Compactness, Hausdorff space, Characterization of Ideals.<br />1. INTRODUCTION AND PRELIMINARIES The space of all continuous functions C(X) has always inspired many mathematicians to extend their valuable research in the area of analysis. Vast literature is available [...]

Details

Language :
English
ISSN :
22224424
Volume :
32
Issue :
1
Database :
Gale General OneFile
Journal :
Tamsui Oxford Journal of Information and Mathematical Sciences
Publication Type :
Periodical
Accession number :
edsgcl.553471868