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Is there any norm for the set of Cauchy sequences of real numbers?

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Have you tried anything on this question? It helps the MSE Community to understand where you are stuck. Regards –  Amzoti Feb 8 '13 at 19:02

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Cauchy sequences of real numbers form a real linear space under termwise addition and multiplication by scalars. Cauchy sequences are bounded sequences, and the real linear space bounded sequences of real numbers has a well-known norm, which yields a norm on the space of Cauchy sequences of real numbers.

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