On $I$ and $I^*$-Cauchy conditions in $C^*$-algebra valued metric spaces

Abstract

The idea of $C^*$-algebra valued metric spaces was given by Ma, Jiang and Sun. In this paper we have studied the ideas of $I$-Cauchy and $I^*$-Cauchy sequences and their properties in such spaces and also we give the idea of $C^*$-algebra valued normed spaces.