On almost 2-normed vector lattices

Year 2018, Volume: 47 Issue: 5, 1094 - 1101, 16.10.2018

Bahri Turan , Fatma Bilici

Abstract

In this paper, we discuss the transformation of a normed vector lattice definition into a 2-normed vector lattice definition and examine the definition of $n$-Banach lattice given by Sağır and Güngör in [A note on $n$-Banach lattices, J. Appl. Funct. Anal., 2015]. We also give definitions of an almost 2-normed vector lattice and an almost 2-Banach lattice. Then, some theoretical examples and results are given.

Keywords

Normed vector lattice, n-normed space, almost 2-normed vector lattice, almost 2-Banach lattice

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