An equivalent definition of the vector-valued McShane integral by means of partitions of unity

L. Di Piazza, and V. Marraffa. "An equivalent definition of the vector-valued McShane integral by means of partitions of unity." Studia Mathematica 151.2 (2002): 175-185. <http://eudml.org/doc/284999>.

@article{L2002,
abstract = {An integral for vector-valued functions on a σ-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.},
author = {L. Di Piazza, V. Marraffa},
journal = {Studia Mathematica},
keywords = {Pettis integral; McShane integral; PoU integral; multipliers; vector-valued integral of Kurzweil-Henstock type},
language = {eng},
number = {2},
pages = {175-185},
title = {An equivalent definition of the vector-valued McShane integral by means of partitions of unity},
url = {http://eudml.org/doc/284999},
volume = {151},
year = {2002},
}

TY - JOUR
AU - L. Di Piazza
AU - V. Marraffa
TI - An equivalent definition of the vector-valued McShane integral by means of partitions of unity
JO - Studia Mathematica
PY - 2002
VL - 151
IS - 2
SP - 175
EP - 185
AB - An integral for vector-valued functions on a σ-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.
LA - eng
KW - Pettis integral; McShane integral; PoU integral; multipliers; vector-valued integral of Kurzweil-Henstock type
UR - http://eudml.org/doc/284999
ER -