Denjoy-type Integrals in Locally Convex Topological Vector Space

Rodolfo Erodias Maza, Sergio Rosales Canoy, Jr.

Abstract

In this paper, we introduce AC* and ACG*-type properties and then, using these
conditions along with other concepts, define two Denjoy-type integrals of a function with values in a locally convex topological vector space (LCTVS). We show, among others, that these newly defined integrals are included in the SH integral, a stronger version of the Henstock integral for LCTVS-valued functions.

Keywords

Denjoy Integral, Henstock Integral, LCTVS

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