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 commuta...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2012
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/24643/ http://irep.iium.edu.my/24643/1/2024C.pdf |
| _version_ | 1848779338202218496 |
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| author | Azram, Mohammad Asif, Shehla |
| author_facet | Azram, Mohammad Asif, Shehla |
| 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 iff A = T(A)+ker(T) and T is a product of an idempotent and an invertible multiplier iff A = T(A)+ker(T) . |
| first_indexed | 2025-11-14T15:16:11Z |
| format | Proceeding Paper |
| id | iium-24643 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:16:11Z |
| publishDate | 2012 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-246432012-09-20T00:55:40Z http://irep.iium.edu.my/24643/ Multipliers on fréchet algebra Azram, Mohammad Asif, Shehla 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 iff A = T(A)+ker(T) and T is a product of an idempotent and an invertible multiplier iff A = T(A)+ker(T) . 2012 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/24643/1/2024C.pdf Azram, Mohammad and Asif, Shehla (2012) Multipliers on fréchet algebra. In: 2 nd International Conference on Mathematical Applications in Engineering (ICMAE2012), 3 - 5 July 2012, Kuala Lumpur. http://www.iium.edu.my/icmae/12/ |
| spellingShingle | QA Mathematics Azram, Mohammad Asif, Shehla 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/24643/ http://irep.iium.edu.my/24643/ http://irep.iium.edu.my/24643/1/2024C.pdf |