6533b822fe1ef96bd127d4f3

RESEARCH PRODUCT

Decomposability in the space ofHKP-integrable functions

Giovanni Porcello

subject

Discrete mathematicsPure mathematicsHenstock–Kurzweil integralIntegrable systemGeneral MathematicsSpace (mathematics)Mathematics

description

In this paper we introduce the notion of decomposability in the space of Henstock-Kurzweil-Pettis integrable (for short HKP-integrable) functions. We show representations theorems for decomposable sets of HKP-integrable or Henstock integrable functions, in terms of the family of selections of suitable multifunctions.

https://doi.org/10.1002/mana.201300107