Korean J. Math. Vol. 29 No. 3 (2021) pp.621-629
DOI: https://doi.org/10.11568/kjm.2021.29.3.621

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

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Amar Kumar Banerjee
Anirban Paul

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.



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