Multipliers on Fréchet algebra

Azram, Mohammad and Asif, Shelah (2013) Multipliers on Fréchet algebra. Middle-East Journal of Scientific Research , 13. pp. 77-82. ISSN 1990-9233

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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, 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). .

Item Type:	Article (Journal)
Additional Information:	3127/29962
Uncontrolled Keywords:	Commutative semi simple Fréchet algebra · Banach algebras · topological algebra · locally convex algebra
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Prof Mohammad Azram
Date Deposited:	14 May 2013 09:30
Last Modified:	23 Dec 2016 12:26
URI:	http://irep.iium.edu.my/id/eprint/29962

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