ON n-BOUNDED AND n-CONTINUOUS OPERATOR IN n-NORMED SPACE

Agus L. Soenjaya

Abstract


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


Keywords


ruang n-norm, ruang n-Banach, operator n-terbatas, operator n- kontinu

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DOI: https://doi.org/10.22342/jims.18.1.109.45-56

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Journal of the Indonesian Mathematical Society
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