ON n-BOUNDED AND n-CONTINUOUS OPERATOR IN n-NORMED SPACE
| Main Author: | Soenjaya, Agus L.; Department of Mathematics, National University of Singapore |
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| Format: | Article application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
IndoMS
, 2012
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| Subjects: | |
| Online Access: |
http://www.jims-a.org/index.php/jimsa/article/view/109 |
Daftar Isi:
- In this paper, the concepts of bounded and continuous n-linear operatorsin n-normed space are discussed. The notions of n-bounded and n-continuous linear operators are then introduced as an extension. This is a generalization of the concepts introduced in [9] and [3]. In addition, the properties of the corresponding spaces of operators are studied to obtain results analogous to the case of normed space. Finally, a sufficient condition for each corresponding space of operators tobe a Banach space is given.DOI : http://dx.doi.org/10.22342/jims.18.1.109.45-56