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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Language: | English |
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Wiley
1999-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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 |
format | Article |
id | doaj-art-e6fa25b007ee459fb68c2fbe8eac8ab6 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1999-01-01 |
publisher | Wiley |
record_format | Article |
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 |