Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 19 (2012), No. 2, 393--402
Copyright Heldermann Verlag 2012

Lineability Issues Involving Vector-Valued Measurable and Integrable Functions

Francisco J. García-Pacheco
Dept. of Mathematics, University of Cadiz, 11510 Puerto Real, Spain

Mohd Amin Sofi
Dept. of Mathematics, Kashmir University, Srinagar-190006 (J&K), India

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 McShane-integrable functions which are not Bochner-integrable.

Keywords: Strongly measurable, scalarly measurable, omega-star-scalarly measurable, McShane integrable functions, Bochner integrable functions.

[ Fulltext-pdf  (134  KB)] for subscribers only.