Vector integration of Henstock and Kurzweil: challenges and perspective

Ponente(s): Tomás Pérez Becerra, Juan Alberto Escamilla Reyna

The idea of extending the Henstock and Kurzweil integration theory of real functions to vector functions has presented some difficulties, some of which have been solved by demanding conditions on the vectorial space, on the other hand, in some others, the conditions have become each more restrictive. In this talk, we will show some results obtained and give an overview of the remaining work.