Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615093 | Journal of Mathematical Analysis and Applications | 2015 | 26 Pages |
Abstract
We study product integrability of functions with values in unital Banach algebras. The product integrals are understood in the sense of Kurzweil, McShane, or Riemann. In particular, we introduce new concepts of strong Kurzweil and McShane product integrals, and investigate their properties. We also provide necessary and sufficient conditions for product integrability of functions with countably many discontinuities.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Antonín Slavík,