Topological algebra via inner product

This paper is devoted to establish a probability measure on a unital commutative separable Fréchet Q lmc* - algebra. Consequently a new technique to define an inner product on a unital commutative semi simple separable Fréchet Q lmc* -algebra. We have shown that the resulting inner product s...

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Bibliographic Details
Main Author: Azram, Mohammad
Format: Proceeding Paper
Language:English
English
Published: 2014
Subjects:
Online Access:http://irep.iium.edu.my/38806/1/ICMAE.pdf
http://irep.iium.edu.my/38806/10/topology_programme_book.pdf
Description
Summary:This paper is devoted to establish a probability measure on a unital commutative separable Fréchet Q lmc* - algebra. Consequently a new technique to define an inner product on a unital commutative semi simple separable Fréchet Q lmc* -algebra. We have shown that the resulting inner product space is a topological algebra. At the end we have established some properties of the introduced inner product.