@article{article_635754, title={Three Equivalent n-Norms on the Space of p-Summable Sequences}, journal={Fundamental Journal of Mathematics and Applications}, volume={2}, pages={123–129}, year={2019}, DOI={10.33401/fujma.635754}, author={Nur, Muh and Gunawan, Hendra}, keywords={Equivalence,n-norm,Semi-inner product g,p-summable sequence space}, abstract={<p style="text-align:justify;"> <span style="font-size:12.6px;">Given a normed space, one can define a new $n$-norm using a semi-inner product $g$ on the space, different from  </span>the $n$-norm defined by G\"{a}hler. In this paper, we are interested in the new $n$-norm which is defined using such a functional $g$ on the space $\ell^p$ of $p$-summable sequences, where $1\le p<\infty$. We prove particularly that the new $n$-norm is equivalent with the one defined previously by Gunawan on $\ell^p$. </p> <p style="font-size:12.6px;"> </p>}, number={2}, publisher={Fuat USTA}, organization={ITB Research and Innovation Program 2019}