ON THE EQUIVALENCE OF CONVERGENCE AND 2-NORM CONVERGENCE IN NORMED SPACES

Authors : Bahri TURAN, Fatma BİLİCİ

Pages : 879-881

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Publication Date : 2016-12-19

Article Type : Other Papers

Abstract :Let insert ignore into journalissuearticles values(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