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Multipliers on fréchet algebra

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.

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Abstract

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) .

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 3127/24643
Uncontrolled Keywords: Solid circular cone, tetrahedron, homeomorphism, Hausdorff metric, embedding
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering > Department of Science
Depositing User: Prof Mohammad Azram
Date Deposited: 20 Sep 2012 08:55
Last Modified: 20 Sep 2012 08:55
URI: http://irep.iium.edu.my/id/eprint/24643

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