Measure and integration--Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures

Henstock-type integrals are considered, for multifunctions taking values in the family of weakly compact and convex subsets of a Banach lattice X. The main tool to handle the multivalued case is a Radstrom-type embedding theorem established by C. C. A. Labuschagne, A. L. Pinchuck, C. J. van Alten in 2007. In this way the norm and order integrals reduce to that of a single-valued function taking values in an M-space, and new proofs are deduced for some decomposition results recently stated in two recent papers by Di Piazza and Musial based on the existence of integrable selections. Key words: Banach lattices, Henstock integral, McShane integral, multivalued integral, point wise non atomic measures MATHEMATICS SUBJECT CLASSIFICATION: 28B05, 28B20, 46B42, 46G10, 18B15