Page 1

Displaying 1 – 6 of 6

Showing per page

On the strong McShane integral of functions with values in a Banach space

Štefan Schwabik, Ye Guoju (2001)

Czechoslovak Mathematical Journal

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....

Currently displaying 1 – 6 of 6

Page 1