On the Strong McShane Integral of Functions with Values in Banach Space

0175076 - MU-W 20025125 RIV CZ eng J - Článek v odborném periodiku
Schwabik, Štefan - Guoju, Y.
On the Strong McShane Integral of Functions with Values in Banach Space.
Czechoslovak Mathematical Journal. Roč. 126, č. 4 (2001), s. 819-828. ISSN 0011-4642. E-ISSN 1572-9141
Grant CEP: GA ČR GA201/01/1199
Klíčová slova: Bochner integral%strong McShane integral
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.047, rok: 2001

The classical Bochner integral is compared with the McShaneconcept 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.
Trvalý link: http://hdl.handle.net/11104/0072067