Orthogonal bases in a topological algebra are Schauder bases

In a topological algebra with separately continuous multiplication, the result quoted in the title is proved.

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Main Authors: Subbash J. Bhatt, G. M. Deheri
Format: Article
Language:English
Published: Wiley 1992-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171292000243
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author Subbash J. Bhatt
G. M. Deheri
author_facet Subbash J. Bhatt
G. M. Deheri
author_sort Subbash J. Bhatt
collection DOAJ
description In a topological algebra with separately continuous multiplication, the result quoted in the title is proved.
format Article
id doaj-art-5ac55d41d9aa456f93b9b21cf880fff0
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1992-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-5ac55d41d9aa456f93b9b21cf880fff02025-02-03T07:24:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115120320410.1155/S0161171292000243Orthogonal bases in a topological algebra are Schauder basesSubbash J. Bhatt0G. M. Deheri1Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388 120, Gujarat, IndiaDepartment of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388 120, Gujarat, IndiaIn a topological algebra with separately continuous multiplication, the result quoted in the title is proved.http://dx.doi.org/10.1155/S0161171292000243topological algebrasorthogonal basisSchauder basis.
spellingShingle Subbash J. Bhatt
G. M. Deheri
Orthogonal bases in a topological algebra are Schauder bases
International Journal of Mathematics and Mathematical Sciences
topological algebras
orthogonal basis
Schauder basis.
title Orthogonal bases in a topological algebra are Schauder bases
title_full Orthogonal bases in a topological algebra are Schauder bases
title_fullStr Orthogonal bases in a topological algebra are Schauder bases
title_full_unstemmed Orthogonal bases in a topological algebra are Schauder bases
title_short Orthogonal bases in a topological algebra are Schauder bases
title_sort orthogonal bases in a topological algebra are schauder bases
topic topological algebras
orthogonal basis
Schauder basis.
url http://dx.doi.org/10.1155/S0161171292000243
work_keys_str_mv AT subbashjbhatt orthogonalbasesinatopologicalalgebraareschauderbases
AT gmdeheri orthogonalbasesinatopologicalalgebraareschauderbases