Double multipliers on topological algebras

The main purpose of this paper is to investigate some topological properties of the double multiplier algebra on a topological algebra. Let Md(A) be the double multiplier algebra on a topological algebra A, and let u and s be the uniform and strong operator topologies on Md(A), respectively. It is s...

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Main Authors: L. A. Khan, N. Mohammad, A. B. Thaheem
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299226294
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author L. A. Khan
N. Mohammad
A. B. Thaheem
author_facet L. A. Khan
N. Mohammad
A. B. Thaheem
author_sort L. A. Khan
collection DOAJ
description The main purpose of this paper is to investigate some topological properties of the double multiplier algebra on a topological algebra. Let Md(A) be the double multiplier algebra on a topological algebra A, and let u and s be the uniform and strong operator topologies on Md(A), respectively. It is shown, under some additional hypotheses on A, that
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institution Kabale University
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-e6fa25b007ee459fb68c2fbe8eac8ab62025-02-03T05:48:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122362963610.1155/S0161171299226294Double multipliers on topological algebrasL. A. Khan0N. Mohammad1A. B. Thaheem2Department of Mathematics, King Abdul Aziz University, P.O. Box 9028, Jeddah 21413, Saudi ArabiaDepartment of Mathematics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Mathematical sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaThe main purpose of this paper is to investigate some topological properties of the double multiplier algebra on a topological algebra. Let Md(A) be the double multiplier algebra on a topological algebra A, and let u and s be the uniform and strong operator topologies on Md(A), respectively. It is shown, under some additional hypotheses on A, thathttp://dx.doi.org/10.1155/S0161171299226294Double multiplierstopological algebrasuniform operator topologystrong operator topology.
spellingShingle L. A. Khan
N. Mohammad
A. B. Thaheem
Double multipliers on topological algebras
International Journal of Mathematics and Mathematical Sciences
Double multipliers
topological algebras
uniform operator topology
strong operator topology.
title Double multipliers on topological algebras
title_full Double multipliers on topological algebras
title_fullStr Double multipliers on topological algebras
title_full_unstemmed Double multipliers on topological algebras
title_short Double multipliers on topological algebras
title_sort double multipliers on topological algebras
topic Double multipliers
topological algebras
uniform operator topology
strong operator topology.
url http://dx.doi.org/10.1155/S0161171299226294
work_keys_str_mv AT lakhan doublemultipliersontopologicalalgebras
AT nmohammad doublemultipliersontopologicalalgebras
AT abthaheem doublemultipliersontopologicalalgebras