- Gazi University Journal of Science
- Vol: 29 Issue: 4
- ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES
ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES
Authors : Bahri Turan, Fatma Bilici
Pages : 879-881
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Publication Date : 2016-12-19
Article Type : Other
Abstract :Let (X,∥.∥) be a normed space and ∥.,...,.∥_{G} be the n-norm given by Gähler. In this paper, we show that ∥.∥-convergence and ∥.,.∥_{G}2-convergence are equivalent.Keywords : Normed space, n-normed space, n-Banach space