Topological structure of 2-normed space and some results in linear 2-normed spaces analogous to baire's theorem and banach steinhaus theorem | [Journal of Prime Research in Mathematics • 2015]

Author(s):

1. P RIYAS: Department of Mathematics, K M M Govt.Women's College, Kannur, India-670004,

2. K T RAVINDRAN: P G Departmentof Mathematics, Payyannur College, Kannur, India-670627,

Abstract:

In this paper we construct the topological structure of linear 2-normed space. This enable us to de¯ne the concept of open sets in linear 2-normed space and derive an analogue of Baire's theorem and Banach Steinhaus theorem in linear 2-normed spaces.

Page(s): 92-103

DOI: DOI not available

Published: Journal: Journal of Prime Research in Mathematics, Volume: 10, Issue: 1, Year: 2015

Keywords:

, AMS SUBJECT , 46B07 , 46B20 46B25 , equicontinuity , 2Banach space , 46A03 , 46A19 , linear 2normed space , locally bounded set , locally convex topological vector space , equibounded

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