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   weak amenability of ultrapowers of banach algebras  
   
نویسنده khodakarami vania ,feizi esmaeil
منبع mathematical analysis and convex optimization - 2024 - دوره : 5 - شماره : 1 - صفحه:109 -115
چکیده    We study when weak amenability of banach algebras are stable under the ultrapower constructions. we extend some general results of weak amenability of banach algebras to their ultrapowers. a banach algebra a is ultra-weakly amenable, if every ultrapower of it is weakly amenable. we further investigate the relationship between ultra-weak amenability, (weak)amenability, and ultra-amenability. we provide an example of an ultra-weakly amenable banach algebra that is not amenable and vice versa.
کلیدواژه ultrapower ,ultra- weak amenability ,ultra-amenability
آدرس bu-ali sina university, department of mathematics, iran, bu-ali sina university, department of mathematics, iran
پست الکترونیکی efeizi@basu.ac.ir
 
     
   
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