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) |
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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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