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

Stochastica (1983)

- Volume: 7, Issue: 2, page 157-161
- ISSN: 0210-7821

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topCongost 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 --> 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 --> 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 -

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