EQUIVALENCE OF n-NORMS ON THE SPACE OF p-SUMMABLE SEQUENCES
| Main Authors: | Mutaqin, Anwar; Universitas Sultan Ageng Tirtayasa, Serang, Gunawan, Hendra; Department of Mathematics, Institut Teknologi Bandung, Bandung |
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| Format: | Article application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
IndoMS
, 2010
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| Subjects: | |
| Online Access: |
http://www.jims-a.org/index.php/jimsa/article/view/27 |
Daftar Isi:
- 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