Geodesic
The McShane, PU and Henstock integrals of Banach valued functions
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 3, pp. 609-633.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Some relationships between the vector valued Henstock and McShane integrals are investigated. An integral for vector valued functions, defined by means of partitions of the unity (the PU-integral) is studied. In particular it is shown that a vector valued function is McShane integrable if and only if it is both Pettis and PU-integrable. Convergence theorems for the Henstock variational and the PU integrals are stated. The families of multipliers for the Henstock and the Henstock variational integrals of vector valued functions are characterized.
Classification : 26A39, 26B30, 28B05, 46G10
Keywords: Pettis; McShane; PU and Henstock integrals; variational integrals; multipliers 
@article{CMJ_2002__52_3_a14,
     author = {Di Piazza, Luisa and Marraffa, V.},
     title = {The {McShane,} {PU} and {Henstock} integrals of {Banach} valued functions},
     journal = {Czechoslovak Mathematical Journal},
     pages = {609--633},
     publisher = {mathdoc},
     volume = {52},
     number = {3},
     year = {2002},
     mrnumber = {1923266},
     zbl = {1011.28007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2002__52_3_a14/}
}
TY  - JOUR
AU  - Di Piazza, Luisa
AU  - Marraffa, V.
TI  - The McShane, PU and Henstock integrals of Banach valued functions
JO  - Czechoslovak Mathematical Journal
PY  - 2002
SP  - 609
EP  - 633
VL  - 52
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2002__52_3_a14/
LA  - en
ID  - CMJ_2002__52_3_a14
ER  - 
%0 Journal Article
%A Di Piazza, Luisa
%A Marraffa, V.
%T The McShane, PU and Henstock integrals of Banach valued functions
%J Czechoslovak Mathematical Journal
%D 2002
%P 609-633
%V 52
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2002__52_3_a14/
%G en
%F CMJ_2002__52_3_a14
Di Piazza, Luisa; Marraffa, V. The McShane, PU and Henstock integrals of Banach valued functions. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 3, pp. 609-633. http://geodesic.mathdoc.fr/item/CMJ_2002__52_3_a14/