Separable ranges of Henstock-Kurzweil-Pettis integral
Abstract
In this article, we introduce Pettis integrability type property for HKP-integrals. We discuss several necessary conditions that $X$ has HKP-integrability property for weak Baire measure. Necessary and sufficient conditions of the indefinite integral of any Henstock-Kurzweil-Pettis
(respectively, Denjoy-Pettis) integrable function with values in a fixed Banach space having separable ranges are discussed.
Downloads
Download data is not yet available.
Published
2025-09-02
Issue
Section
Articles
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática
This work is licensed under a Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
