Decomposition of fréchet Q lmc*- algebra

Azram, Mohammad (2015) Decomposition of fréchet Q lmc*- algebra. In: FEIIC-International Conference on Engineering Education and Research 2015, 19th-21th Dec. 2015, Madinah, Kingdom Saudi of Arabia.

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Abstract

This paper is devoted to discuss the new approach to define inner product space Aμ on a unital commutative semi-simple separable Fréchet Q lmc*- algebra via the Gelfand transformation by mean of probability measure μ on the maximal ideal space Δ of A. We will establish that every maximal ideal M of A with M┴ ≠ {0} is Aμ -closed and consequently the decomposition A = M ⊕ M ⊥.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	3127/46804 (ISBN: 9789675995118)
Uncontrolled Keywords:	Commutative semi simple Fréchet algebra, Banach algebras, Topological algebra, Locally convex algebra. Maximal ideal.
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:	08 Jan 2016 08:58
Last Modified:	19 Jul 2016 17:22
URI:	http://irep.iium.edu.my/id/eprint/46804

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