
Journal of Convex Analysis 19 (2012), No. 2, 393402 Copyright Heldermann Verlag 2012 Lineability Issues Involving VectorValued Measurable and Integrable Functions Francisco J. GarcíaPacheco Dept. of Mathematics, University of Cadiz, 11510 Puerto Real, Spain garcia.pacheco@uca.es Mohd Amin Sofi Dept. of Mathematics, Kashmir University, Srinagar190006 (J&K), India aminsofi@rediffmail.com We construct, over many Banach spaces, infinite dimensional vector spaces of scalarly measurable functions that are not strongly measurable, and infinite dimensional vector spaces of ω*scalarly measurable functions that are not scalarly measurable. A similar result will be proved for the set of McShaneintegrable functions which are not Bochnerintegrable. Keywords: Strongly measurable, scalarly measurable, omegastarscalarly measurable, McShane integrable functions, Bochner integrable functions. [ Fulltextpdf (134 KB)] for subscribers only. 