Topological properties of the complex vector lattice of bounded finitely additive mesures

Marian Nowak. "Topological properties of the complex vector lattice of bounded finitely additive mesures." Commentationes Mathematicae 53.2 (2013): null. <http://eudml.org/doc/292550>.

@article{MarianNowak2013,
abstract = {Let $\Sigma $ be a $\sigma $-algebra of subsets of a non-empty set $\Omega $. Let $ba(\Sigma )$ be the complex vector lattice of bounded finitely additive measures $\mu :\Sigma \rightarrow \mathbb \{C\}$. We study locally solid topologies on $ba(\Sigma )$. We develop the duality theory of $ba(\Sigma )$, provided with locally convex-solid topologies.},
author = {Marian Nowak},
journal = {Commentationes Mathematicae},
keywords = {complex vector lattices, locally solid topologies, spaces of bounded finitely additive measures},
language = {eng},
number = {2},
pages = {null},
title = {Topological properties of the complex vector lattice of bounded finitely additive mesures},
url = {http://eudml.org/doc/292550},
volume = {53},
year = {2013},
}

TY - JOUR
AU - Marian Nowak
TI - Topological properties of the complex vector lattice of bounded finitely additive mesures
JO - Commentationes Mathematicae
PY - 2013
VL - 53
IS - 2
SP - null
AB - Let $\Sigma $ be a $\sigma $-algebra of subsets of a non-empty set $\Omega $. Let $ba(\Sigma )$ be the complex vector lattice of bounded finitely additive measures $\mu :\Sigma \rightarrow \mathbb {C}$. We study locally solid topologies on $ba(\Sigma )$. We develop the duality theory of $ba(\Sigma )$, provided with locally convex-solid topologies.
LA - eng
KW - complex vector lattices, locally solid topologies, spaces of bounded finitely additive measures
UR - http://eudml.org/doc/292550
ER -