Title of article :
JOHNSON AMENABILITY FOR TOPOLOGICAL SEMIGROUPS
Author/Authors :
MAYSAMI SADR، M نويسنده Department of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan, I. R. of Iran , , POURABBAS، A نويسنده Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran ,
Issue Information :
فصلنامه با شماره پیاپی 0 سال 2010
Abstract :
A notion of amenability for topological semigroups is introduced. A topological semigroup S is
called Johnson amenable if for every Banach S -bimodule E , every bounded crossed homomorphism from
S to E* is principal. In this paper it is shown that a discrete semigroup S is Johnson amenable if and only if
?1(S) is an amenable Banach algebra. Also, we show that if a topological semigroup S is Johnson amenable,
then it is amenable, but the converse is not true.
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
