Turkish Journal of Mathematics
Abstract
In this article we generalized some properties of Banach algebras, to a new class of topological algebras namely fundamental and fundamental locally multiplicative topological algebras (abbreviated by FLM). Also the new notion of sub-multiplicatively metrizable topological algebra is given and some well known spectral properties of Banach algebras are generalized to such kind of algebras.
DOI
10.3906/mat-1009-30
Keywords
FLM algebras, fundamental topological algebras, holomorphic function, multiplicative linear functionals, semi-simple algebras, spectral radius
First Page
445
Last Page
451
Recommended Citation
ZOHRI, A, & JABBARI, A (2012). Generalization of some properties of Banach algebras to fundamental locally multiplicative topological algebras. Turkish Journal of Mathematics 36 (3): 445-451. https://doi.org/10.3906/mat-1009-30