A first return examination of vector valued integrals.
- Authors: Bongiorno, D
- Publication year: 2009
- Type: eedings
- Key words: Trajectory, first return integral, Bochner integral, Pettis integral, McShane integral.
- OA Link: http://hdl.handle.net/10447/47029
Abstract
We prove that for each Bochner integrable function f there exists a trajectory yielding the Bochner integral of f, and that on infinite dimensional Banach spaces there exist Pettis integrable functions f such that no trajectory yields the Pettis integral of f.