On the space p of p-summable sequences (of real numbers), one can derive a norm from the 2-norm as indicated by Gunawan [H. Gunawan, The space of p-summable sequences and its natural n-norms, Bull. Austral. Math. Soc. 64 (2001), 137–147]. The purpose of this note is to establish the equivalence between such a norm and the usual norm on p . We show that our result is useful in understanding the topology of p as a 2-normed space.
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