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 commuta...

Full description

Bibliographic Details
Main Authors: Azram, Mohammad, Asif, Shehla
Format: Conference or Workshop Item
Language:English
Published: 2012
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/24643/
http://irep.iium.edu.my/24643/
http://irep.iium.edu.my/24643/1/2024C.pdf
id iium-24643
recordtype eprints
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 Conference or Workshop Item 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/
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, Shehla
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 iff A = T(A)+ker(T) and T is a product of an idempotent and an invertible multiplier iff A = T(A)+ker(T) .
format Conference or Workshop Item
author Azram, Mohammad
Asif, Shehla
author_facet Azram, Mohammad
Asif, Shehla
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
publishDate 2012
url http://irep.iium.edu.my/24643/
http://irep.iium.edu.my/24643/
http://irep.iium.edu.my/24643/1/2024C.pdf
first_indexed 2023-09-18T20:36:57Z
last_indexed 2023-09-18T20:36:57Z
_version_ 1777409109262336000

Similar Items