On almost 2-normed vector lattices

Authors : Bahri TURAN, Fatma BİLİCİ

Pages : 1094-1101

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Publication Date : 2018-10-16

Article Type : Research Paper

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