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

Amar Kumar Banerjee; Anirban Paul

arxiv: 1811.05662 · v1 · pith:NLIQMTOZnew · submitted 2018-11-14 · 🧮 math.GN

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

Amar Kumar Banerjee , Anirban Paul This is my paper

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keywords spacesalgebracauchyvaluedideametricciteconditions

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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 the idea of $C^*$-algebra valued normed spaces.

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

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