Malaysian Journal of Mathematical Sciences, February 2016, Vol. 10(S)
Special Issue: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE'14)
Topological Algebra via Inner Product
Azram, M.
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
This paper is devoted to establish a probability measure on a unital commutative separable Frechet $Q$ lmc*- algebra. Consequently a new technique to define an inner product on a unital commutative semi simple separable Frechet $Q$ 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.
Keywords: Commutative semi simple Frechet algebra, Banach algebras, topological algebra, locally convex algebra
