The locally uniformly non-square points of Orlicz-Bochner sequence spaces

In this paper, we investigate the locally uniformly non-square point of Orlicz-Bochner sequence spaces endowed with Luxemburg norm. Analysing and combining the generating function M and properties of the real Banach space X, we get sufficient and necessary conditions of locally uniformly non-square point, which contributes to criteria for locally uniform non-squareness in Orlicz-Bochner sequence spaces. The results generalize the corresponding results in the classical Orlicz sequence spaces. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim