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dc.contributor.supervisor Ghahramani, Fereidoun (Mathematics) en
dc.contributor.author Makareh Shireh, Miad
dc.date.accessioned 2010-09-14T13:49:57Z
dc.date.available 2010-09-14T13:49:57Z
dc.date.issued 2010-09-14T13:49:57Z
dc.identifier.uri http://hdl.handle.net/1993/4197
dc.description.abstract This thesis has two parts. The first part deals with some questions in amenability. We show that for a Banach algebra A with a bounded approximate identity, the amenability of the projective tensor product of A with itself, the amenability of the projective tensor product of A with A^op and the amenability of A are equivalent. Also if A is a closed ideal in a commutative Banach algebra B, then the (weak) amenability of the projective tensor product of A and B implies the (weak) amenability of A. Finally, we show that if the Banach algebra A is amenable through multiplication π then is also amenable through any multiplication ρ such that the norm of π-ρ is less than 1/( 11). The second part deals with questions in generalized notions of amenability such as approximate amenability and bounded approximate amenability. First we prove some new results about approximately amenable Banach algebras. Then we state a characterization of approximately amenable Banach algebras and a characterization of boundedly approximately amenable Banach algebras. Finally, we prove that B(l^p (E)) is not approximately amenable for Banach spaces E with certain properties. As a corollary of this part, we give a new proof that B(l^2) is not approximately amenable. en
dc.format.extent 470900 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.subject amenability en
dc.subject approximate amenability
dc.subject bounded approximate amenability
dc.title Topics in the Notion of Amenability and its Generalizations for Banach Algebras en
dc.degree.discipline Mathematics en
dc.contributor.examiningcommittee Stokke, Ross (Mathematics) Wang, Xikui (Statistics) en
dc.degree.level Master of Science (M.Sc.) en
dc.description.note October 2010 en


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