Multipliers on Fréchet algebra

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...

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Main Authors: Azram, Mohammad, Asif, Shelah
Format: Article
Language:English
Published: IDOSI Publications 2013
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/29962/
http://irep.iium.edu.my/29962/
http://irep.iium.edu.my/29962/1/12.pdf
id iium-29962
recordtype eprints
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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Azram, Mohammad
Asif, Shelah
Multipliers on Fréchet algebra
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). .
format Article
author Azram, Mohammad
Asif, Shelah
author_facet Azram, Mohammad
Asif, Shelah
author_sort Azram, Mohammad
title Multipliers on Fréchet algebra
title_short Multipliers on Fréchet algebra
title_full Multipliers on Fréchet algebra
title_fullStr Multipliers on Fréchet algebra
title_full_unstemmed Multipliers on Fréchet algebra
title_sort multipliers on fréchet algebra
publisher IDOSI Publications
publishDate 2013
url http://irep.iium.edu.my/29962/
http://irep.iium.edu.my/29962/
http://irep.iium.edu.my/29962/1/12.pdf
first_indexed 2023-09-18T20:43:59Z
last_indexed 2023-09-18T20:43:59Z
_version_ 1777409552447176704

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