A note on the construction of measures taking their values in a Banach space with basis.

Congost Iglesias, María. "A note on the construction of measures taking their values in a Banach space with basis.." Stochastica 7.2 (1983): 157-161. <http://eudml.org/doc/38893>.

@article{CongostIglesias1983,
abstract = {If E is a Banach space with a basis \{en\}, n belonging to N, a vector measure m: a --&gt; E determines a sequence \{mn\}, n belonging to N, of scalar measures on a named its components. We obtain necessary and sufficient conditions to ensure that when given a sequence of scalar measures it is possible to construct a vector valued measure whose components were those given. Furthermore we study some relations between the variation of the measure m and the variation of its components.},
author = {Congost Iglesias, María},
journal = {Stochastica},
keywords = {Medidas; Espacios de Banach; Banach space; scalar measures; vector measure; variations},
language = {eng},
number = {2},
pages = {157-161},
title = {A note on the construction of measures taking their values in a Banach space with basis.},
url = {http://eudml.org/doc/38893},
volume = {7},
year = {1983},
}

TY - JOUR
AU - Congost Iglesias, María
TI - A note on the construction of measures taking their values in a Banach space with basis.
JO - Stochastica
PY - 1983
VL - 7
IS - 2
SP - 157
EP - 161
AB - If E is a Banach space with a basis {en}, n belonging to N, a vector measure m: a --&gt; E determines a sequence {mn}, n belonging to N, of scalar measures on a named its components. We obtain necessary and sufficient conditions to ensure that when given a sequence of scalar measures it is possible to construct a vector valued measure whose components were those given. Furthermore we study some relations between the variation of the measure m and the variation of its components.
LA - eng
KW - Medidas; Espacios de Banach; Banach space; scalar measures; vector measure; variations
UR - http://eudml.org/doc/38893
ER -