پديد آورنده :
نعمتي، مهدي
عنوان :
شبه ميانگين پذيري مشخصه اي جبرهاي باناخ و كاربردهاي آن
گرايش تحصيلي :
رياضي محض، آناليز هارمونيك
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
يادداشت :
ص.ع.به فارسي و انگليسي
استاد راهنما :
رسول نصر اصفهاني
استاد مشاور :
مجيد اسحاقي گرجي
توصيفگر ها :
انقباض پذير مشخصه اي , مدول چپ باناخ , گروه فشرده ي موضعي , جبر سگال مجرد
تاريخ نمايه سازي :
16/5/90
استاد داور :
مسعود اميني، غلامحسين اسلام زاده
كد ايرانداك :
ID376 دكتري
چكيده فارسي :
به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي
چكيده انگليسي :
Character Pseudo amenability of Banach Algebras and its Applications Mehdi Nemati m nemati@math iut ac ir April 13 2011 Doctor of Philosophy Thesis Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 IranSupervisor Dr Rasoul Nasr Isfahani isfahani@cc iut ac ir Advisor Dr Majid Eshaghi Gordji madjid eshaghi@gmail com Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran AbstractIn this thesis for a Banach algebra A and non zero character on A we introduce andstudy the notion of pseudo amenability of A by modifying the concepts of amenabilityand pseudo amenability We give some necessary and su cient conditions for pseudo amenability of various family of Banach algebras as well as several hereditary properties Moreover for certain Banach algebras named abstract Segal algebras we study amenability and contractibility of them Finally we apply these results to characterize pseudo amenability of various Banach algebras related to locally compact groups Key WordsBanach algebra character amenable character contractible pseudo amenable abstract Segalalgebra locally compact group IntroductionThe class of amenable Banach algebras was rst introduced and studied by Johnson 9 in 1972and independently by Helemskii in the same year a Banach algebra A is amenable preciselywhen it has a bounded approximate diagonal i e a bounded net m in the projectivetensor product A A such that a m m a 0 and m a a 0 for all a A where denotes the product morphism from A A into A given by a b ab for alla b A The concept of amenability has played an important rule in the theory of Banachalgebras Motivated by the fact that amenability is restrictive Ghahramani and Zhang 6 introduced and studied the notion of pseudo amenability the existence of an approximatediagonal For a non zero character on A Kaniuth Lau and Pym 10 have recently introducedand studied the interesting notion of amenability see also 11 Precisely a Banach algebraA is amenable if there exists a bounded linear functional F on the dual space A satisfyingF 1 and a F a F for all a A where is the rst Arens multiplication on the 1
استاد راهنما :
رسول نصر اصفهاني
استاد مشاور :
مجيد اسحاقي گرجي
استاد داور :
مسعود اميني، غلامحسين اسلام زاده
