Open AccessDenjoy-type Integrals in Locally Convex Topological Vector Space
Author(s) -
Rodolfo Erodias Maza,
Sergio R. Canoy
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i4.4115
Subject(s) - mathematics , locally convex topological vector space , type (biology) , pure mathematics , choquet theory , space (punctuation) , regular polygon , vector space , function space , topology (electrical circuits) , topological space , mathematical analysis , convex set , combinatorics , convex optimization , geometry , ecology , linguistics , philosophy , biology
In this paper, we introduce AC* and ACG*-type properties and then, using theseconditions 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.