HULL-KERNEL TOPOLOGY ON A SPECIFIC CLASS OF TOPOLOGICAL ALGEBRAS

MAJID SABET(1) AND SOLMAZ NOURI(2)

1. Payame Noor University, Department of Mathematics , Tehran, IRAN
e-mail: MSG@pnu.ac.ir
2. University of Guilan, Department of Pure Mathematics, Faculty of Mathematical Science , Rasht, IRAN
e-mail: solmaznouri85@gmail.com

Abstract

Let A be a Fundamental Strongly Sequential algebra (FSS). It is known that the carrier space Φ_A is compact and Hausdorff, In this paper we introduce a topology on Φ_A, called Hull-kernel topology, which coincides with the A-topology in certain circumstances.

Keywords

Strongly Sequential algebras Fundamental algebras Carrier space Hull-kernel topology.