• ON SOME PROPERTIES OF CLIQUISH FUNCTIONS
Abstract
In this paper, some interesting properties of cliquish functions are investigated. It is established that the set of all real valued bounded cliquish functions on a topological space forms a commutative Banach algebra under the supremum norm and is shown that the space of all real valued Quasicontinuous functions is a closed subalgebra of this Banach algebra.
Keywords
Cliquish function, Banach algebra, Quasicontinuity, Semi-continuity.
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