Fréchet-spaces-valued measures and the AL-property.

@article{Okada2003,
abstract = {Associated with every vector measure m taking its values in a Fréchet space X is the space L1(m) of all m-integrable functions. It turns out that L1(m) is always a Fréchet lattice. We show that possession of the AL-property for the lattice L1(m) has some remarkable consequences for both the underlying Fréchet space X and the integration operator f → ∫ f dm.},
author = {Okada, S., Ricker, W. J.},
journal = {RACSAM},
keywords = {Espacios de Fréchet; Medidas vectoriales; Retículo de Banach; Fréchet space; vector measure; AL-property; integration operator},
language = {eng},
number = {2},
pages = {305-314},
title = {Fréchet-spaces-valued measures and the AL-property.},
url = {http://eudml.org/doc/40978},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Okada, S.
AU - Ricker, W. J.
TI - Fréchet-spaces-valued measures and the AL-property.
JO - RACSAM
PY - 2003
VL - 97
IS - 2
SP - 305
EP - 314
AB - Associated with every vector measure m taking its values in a Fréchet space X is the space L1(m) of all m-integrable functions. It turns out that L1(m) is always a Fréchet lattice. We show that possession of the AL-property for the lattice L1(m) has some remarkable consequences for both the underlying Fréchet space X and the integration operator f → ∫ f dm.
LA - eng
KW - Espacios de Fréchet; Medidas vectoriales; Retículo de Banach; Fréchet space; vector measure; AL-property; integration operator
UR - http://eudml.org/doc/40978
ER -