Department of Mathematics, Faculty of Sciences, Babol University of Technology, Babol, Mazandaran, Islamic Republic of Iran
Abstract
Let S be a locally compact foundation semigroup with identity and be its semigroup algebra. Let X be a weak*-closed left translation invariant subspace of In this paper, we prove that X is invariantly complemented in if and only if the left ideal of has a bounded approximate identity. We also prove that a foundation semigroup with identity S is left amenable if and only if every complemented weak*-closed left translation invariant subspace of is invariantly complemented in .
Mohammadzadeh,B . (2014). Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups. Journal of Sciences, Islamic Republic of Iran, 25(1), 51-55.
MLA
Mohammadzadeh,B . "Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups", Journal of Sciences, Islamic Republic of Iran, 25, 1, 2014, 51-55.
HARVARD
Mohammadzadeh B. (2014). 'Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups', Journal of Sciences, Islamic Republic of Iran, 25(1), pp. 51-55.
CHICAGO
B Mohammadzadeh, "Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups," Journal of Sciences, Islamic Republic of Iran, 25 1 (2014): 51-55,
VANCOUVER
Mohammadzadeh B. Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups. J. Sci. I. R. I.. 2014;25(1):51-55.
Journal of Sciences, Islamic Republic of Iran