The order -complete vector lattice of AM-compact operators
Belmesnaoui Aqzzouz; Redouane Nouira
Czechoslovak Mathematical Journal (2009)
- Volume: 59, Issue: 3, page 827-834
- ISSN: 0011-4642
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topAqzzouz, Belmesnaoui, and Nouira, Redouane. "The order $\sigma $-complete vector lattice of AM-compact operators." Czechoslovak Mathematical Journal 59.3 (2009): 827-834. <http://eudml.org/doc/37960>.
@article{Aqzzouz2009,
abstract = {We establish necessary and sufficient conditions under which the linear span of positive AM-compact operators (in the sense of Fremlin) from a Banach lattice $E$ into a Banach lattice $F$ is an order $\sigma $-complete vector lattice.},
author = {Aqzzouz, Belmesnaoui, Nouira, Redouane},
journal = {Czechoslovak Mathematical Journal},
keywords = {AM-compact operator; order continuous norm; discrete vector lattice; AM-compact operator; order continuous norm; discrete vector lattice},
language = {eng},
number = {3},
pages = {827-834},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The order $\sigma $-complete vector lattice of AM-compact operators},
url = {http://eudml.org/doc/37960},
volume = {59},
year = {2009},
}
TY - JOUR
AU - Aqzzouz, Belmesnaoui
AU - Nouira, Redouane
TI - The order $\sigma $-complete vector lattice of AM-compact operators
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 3
SP - 827
EP - 834
AB - We establish necessary and sufficient conditions under which the linear span of positive AM-compact operators (in the sense of Fremlin) from a Banach lattice $E$ into a Banach lattice $F$ is an order $\sigma $-complete vector lattice.
LA - eng
KW - AM-compact operator; order continuous norm; discrete vector lattice; AM-compact operator; order continuous norm; discrete vector lattice
UR - http://eudml.org/doc/37960
ER -
References
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