TY - JOUR
ID - 405
TI - Non-regularity of multiplications for general measure algebras
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Laali, J.
AU - Ettefagh, M.
AD - Kharazmi University
AD - Islamic Azad University
Y1 - 2012
PY - 2012
VL - 38
IS - 1
SP - 265
EP - 274
DO -
N2 - Let $fM(X)$ be the space of all finite regular Borel measures on $X$. A general measure algebra is a subspace of$fM(X)$,which is an $L$-space and has a multiplication preserving the probability measures. Let $cLsubseteqfM(X)$ be a general measure algebra on a locallycompact space $X$. In this paper, we investigate the relation between Arensregularity of $cL$ and the topology of $X$. We find conditionsunder which the Arens regularity of $fL$ implies the compactness of $X$.Weshow that these conditions are necessary.We also present some examples in showing that the new conditions aredifferent from Theorem 3.1 of cite{7}.
UR - http://bims.iranjournals.ir/article_405.html
L1 - http://bims.iranjournals.ir/article_405_227f292f58bd40a514de4597f4abbad2.pdf
ER -