TY - JOUR
AU - Mutaqin, Anwar
AU - Gunawan, Hendra
PY - 2010/08/05
Y2 - 2022/08/08
TI - EQUIVALENCE OF n-NORMS ON THE SPACE OF p-SUMMABLE SEQUENCES
JF - Journal of the Indonesian Mathematical Society
JA - JIMS
VL - 16
IS - 1
SE - Articles
DO - 10.22342/jims.16.1.27.1-7
UR - https://jims-a.org/index.php/jimsa/article/view/27
SP - 1-7
AB - <p>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.</p><p>DOI : <a href="http://dx.doi.org/10.22342/jims.16.1.27.1-7" target="_self">http://dx.doi.org/10.22342/jims.16.1.27.1-7</a></p>
ER -