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

RACSAM (2003)

- Volume: 97, Issue: 2, page 305-314
- ISSN: 1578-7303

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topOkada, S., and Ricker, W. J.. "Fréchet-spaces-valued measures and the AL-property.." RACSAM 97.2 (2003): 305-314. <http://eudml.org/doc/40978>.

@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 -

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