Main Article Content
Abstract
We study the relation between two known n-norms on lp, the space ofp-summable sequences. One n-norm is derived from GÄahler's formula (1969), whilethe other is due to Gunawan (2001). We show in particular that the convergence inone n-norm implies that in the other. The key is to show that the convergence ineach of these n-norms is equivalent to that in the usual norm on lp.
Keywords
n-normed spaces
p-summable sequence spaces
n-norm equivalence
Article Details
How to Cite
Mutaqin, A., & Gunawan, H. (2010). EQUIVALENCE OF n-NORMS ON THE SPACE OF p-SUMMABLE SEQUENCES. Journal of the Indonesian Mathematical Society, 16(1), 1–7. https://doi.org/10.22342/jims.16.1.27.1-7
