TY - JOUR
ID - 50488
TI - Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups
JO - Journal of Sciences, Islamic Republic of Iran
JA - JSCIENCES
LA - en
SN - 1016-1104
AU - Mohammadzadeh, B.
AD - Department of Mathematics, Faculty of Sciences, Babol University of Technology, Babol, Mazandaran, Islamic Republic of Iran
Y1 - 2014
PY - 2014
VL - 25
IS - 1
SP - 51
EP - 55
KW - Complemented subspace
KW - Foundation semigroup
KW - Semigroup algebras
DO -
N2 - 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 .
UR - https://jsciences.ut.ac.ir/article_50488.html
L1 - https://jsciences.ut.ac.ir/article_50488_8bcf6c5a22fd9a2f7939bec5ecac6979.pdf
ER -