Some notes on the space of p-summable sequences.

Recently, Konca et al. (2015a) have revisited the space lp of p-summable sequences of real numbers and have shown that this space is actually contained in a weighted inner product space called l²v. In another paper, Konca et al. (2015b) have investigated the space lp to show that it is also contained in a weighted 2-inner product space. In this work, we show in the details that lp is dense in l²v as a normed space, and as a 2-normed space. Further, we prove that l²v is separable and conclude that it is isometric to the completion of lp. [ABSTRACT FROM AUTHOR]