1. On the strong McShane integral of functions with values in a Banach space
- Creator:
- Schwabik, Štefan and Guoju, Ye
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Bochner integral and strong McShane integral
- Language:
- English
- Description:
- The classical Bochner integral is compared with the McShane concept of integration based on Riemann type integral sums. It turns out that the Bochner integrable functions form a proper subclass of the set of functions which are McShane integrable provided the Banach space to which the values of functions belong is infinite-dimensional. The Bochner integrable functions are characterized by using gauge techniques. The situation is different in the case of finite-dimensional valued vector functions.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public