Zabreiko's lemma in 2-normed space and its applications

2021/08/13 by Akshay S. Rane, Rane, Akshay S.
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #math.GM

paper · pdf · doi:10.48550/arxiv.2109.06639

arxiv created 2021/08/13 · arxiv updated 2021/09/15

Abstract

We prove the Zabreiko's lemma in 2-Banach spaces. As an application we shall prove a version of the closed graph theorem and open mapping theorem.

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