ON SPECTRUM OF SOME ELEMENTS OF AN FLM ALGEBRA

Fundamental topological spaces (also algebras) are introduced by E. Anasri-Piri in 1990 to extending the meaning of both local convexity and local boundedness. He used this new class of algebras to generalizing famous Cohen factorization theorem . In this article we will investigate about spectrum of some elements of FLM algebras. It is well known that in every Banach algebra A we have spA(x) 6= Ø for any element x ϵ A. It is not true for more general spaces.