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Mohammadzadeh, B.. (1392). Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups. , 25(1), 51-55.
B. Mohammadzadeh. "Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups". , 25, 1, 1392, 51-55.
Mohammadzadeh, B.. (1392). 'Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups', , 25(1), pp. 51-55.
Mohammadzadeh, B.. Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups. , 1392; 25(1): 51-55.

Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups

Journal of Sciences, Islamic Republic of Iran
مقاله 6، دوره 25، شماره 1، خرداد 2014، صفحه 51-55    اصل مقاله (287.82 K)
نوع مقاله: Original Paper
نویسنده
B. Mohammadzadeh
Department of Mathematics, Faculty of Sciences, Babol University of Technology, Babol, Mazandaran, Islamic Republic of Iran
چکیده
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 .
کلیدواژه‌ها
Complemented subspace؛ Foundation semigroup؛ Semigroup algebras
آمار
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