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The idea of $C^*$-algebra valued metric spaces was given by Z. Ma et al\cite{111} in 2014. Here we have studied the ideas of $I$-Cauchy and$I^*$-Cauchy sequences and their properties in such spaces and also we give theidea of $C^*$-algebra valued normed spaces.

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

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