Multipliers on Fréchet algebra
This paper is devoted to establish some fundamentally important results on a commutative semi simple Fréchet algebra. It has been shown that a multiplier on a semi simple Fréchet algebra is a product of an idempotent and an invertible multiplier. It has also been shown that a multiplier on a commu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
IDOSI Publications
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/29962/ http://irep.iium.edu.my/29962/1/12.pdf |
| _version_ | 1848780217414320128 |
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| author | Azram, Mohammad Asif, Shelah |
| author_facet | Azram, Mohammad Asif, Shelah |
| author_sort | Azram, Mohammad |
| building | IIUM Repository |
| collection | Online Access |
| description | This paper is devoted to establish some fundamentally important results on a commutative semi simple Fréchet algebra. It has been shown that a multiplier on a semi simple Fréchet algebra is a product of an idempotent and an invertible multiplier. It has also been shown that a multiplier on a commutative semi simple Fréchet algebra which is also a Fredholm operator is a product of an idempotent and an invertible element of a continuous linear self mapping of commutative semi simple Fréchet algebra. Finally have shown that for a multiplier T on a commutative semi simple Fréchet algebra A, T2(A) is closed iff
T(A) + Ker (T) is closed, T(A) + Ker(T) is closed
iff A=T(A)+Ker(T)and T is a product of an idempotent and
an invertible multiplier iff = T(A)+Ker(T).
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| first_indexed | 2025-11-14T15:30:09Z |
| format | Article |
| id | iium-29962 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:30:09Z |
| publishDate | 2013 |
| publisher | IDOSI Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-299622016-12-23T04:26:42Z http://irep.iium.edu.my/29962/ Multipliers on Fréchet algebra Azram, Mohammad Asif, Shelah QA Mathematics This paper is devoted to establish some fundamentally important results on a commutative semi simple Fréchet algebra. It has been shown that a multiplier on a semi simple Fréchet algebra is a product of an idempotent and an invertible multiplier. It has also been shown that a multiplier on a commutative semi simple Fréchet algebra which is also a Fredholm operator is a product of an idempotent and an invertible element of a continuous linear self mapping of commutative semi simple Fréchet algebra. Finally have shown that for a multiplier T on a commutative semi simple Fréchet algebra A, T2(A) is closed iff T(A) + Ker (T) is closed, T(A) + Ker(T) is closed iff A=T(A)+Ker(T)and T is a product of an idempotent and an invertible multiplier iff = T(A)+Ker(T). . IDOSI Publications 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/29962/1/12.pdf Azram, Mohammad and Asif, Shelah (2013) Multipliers on Fréchet algebra. Middle-East Journal of Scientific Research , 13. pp. 77-82. ISSN 1990-9233 http://www.idosi.org/mejsr/mejsr13(mae)13/12.pdf |
| spellingShingle | QA Mathematics Azram, Mohammad Asif, Shelah Multipliers on Fréchet algebra |
| title | Multipliers on Fréchet algebra |
| title_full | Multipliers on Fréchet algebra |
| title_fullStr | Multipliers on Fréchet algebra |
| title_full_unstemmed | Multipliers on Fréchet algebra |
| title_short | Multipliers on Fréchet algebra |
| title_sort | multipliers on fréchet algebra |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/29962/ http://irep.iium.edu.my/29962/ http://irep.iium.edu.my/29962/1/12.pdf |