dc.contributor.supervisor 
Ghahramani, Fereidoun (Mathematics) 
en 
dc.contributor.author 
Makareh Shireh, Miad


dc.date.accessioned 
20100914T13:49:57Z 

dc.date.available 
20100914T13:49:57Z 

dc.date.issued 
20100914T13:49:57Z 

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 πρ 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 