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description Journal article public Journal of the Indonesian Mathematical Society

Equivalence of N-norms on the Space of P-summable Sequences

Anwar Mutaqin, Hendra Gunawan
Published April 2010

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.DOI : http://dx.doi.org/10.22342/jims.16.1.27.1-7

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