پديد آورنده :
قادري، اقبال
عنوان :
مفاهيم ميانگين پذيري روي حاصلضرب هاي خاص از جبرهاي باناخ
گرايش تحصيلي :
علوم رياضي-رياضي محض
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان،دانشكده علوم رياضي
يادداشت :
ص.ع.به فارسي و انگليسي
استاد راهنما :
رسول نصر اصفهاني
توصيفگر ها :
حاصلضرب , ميانگين پذيري تقريبي , ميانگين پذيري اساسي , ميانگين پذيري ضعيف , ميانگين پذيري دوري , ميانگين پذيري ايدآلي , شبه- ميانگين پذيري و شبه- ميانگين پذيري مشخصه اي , شبه-انقباض پذيري
تاريخ نمايه سازي :
8/9/93
استاد داور :
عبدالرسول پدرعباس،غلامحسين اسلام زاده،محمود منجگاني
كد ايرانداك :
ID675 دكتري
چكيده انگليسي :
Notions of Amenability On Certain Products of Banach Algebras Eghbal Ghaderi ghaderi@math iut ac ir September 10 2014 Doctor of Philosophy Thesis Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Rasoul Nasr Isfahani isfahani@cc iut ac ir Advisor Dr Mehdi Nemati m nemati@cc iut ac ir Department Graduate Program Coordinator Dr Farid Bahrami fbahrami@cc iut ac ir Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Abstract In this dissertation let A and B be two Banach algebras and be a nonzero character on B If we equip the A B with the usual C module structure component addition scalar multiplication 1 norm and Lau product then A B is a Banach algebra denoted by A B and called Lau product of Banach algebras A and B The Lau product were rst introduced by Lau for F algebras Recently A B was introduced and investigated by Monfared 9 and then pursued by Ebrahimi Vishki and Khoddami 1 7 Here we character ize some notions of amenability as approximate amenability essential amenability n weak amenability and cyclic amenability between A and B and their Lau product Moreover for two closed two sided ideals I and J of A and B respectively we investigate the relations between derivations from A into I n and derivations from B into J n with derivations from the A B into I J n under certain conditions Also we study the n ideal amenability of these Banach algebras Finally we study Pseudo amenability pseudo contractibility and character pseudo amenability of A B and their relations with A and B Key Words Lau Product Approximate Amenability Essential Amenability Weak Amenability Cyclic Amenability Ideal Amenability Pseudo Contractibility and Character Pseudo Amenability 1 Introduction Let A and B be two Banach algebras and B the spectrum of B of all nonzero characters on B Then the Lau product of A and B denoted by A B is d ned as the space A B equipped with the multiplication a b a b aa b a b a bb and the norm a b a b for all a a A and b b B The Lau product A B is a Banach algebra This product was rst introduced by Lau 8 for Lau algebras recall that a Lau algebra is a Banach algebra which is the predual of a Von Neumann algebra for which the identity 1
استاد راهنما :
رسول نصر اصفهاني
استاد داور :
عبدالرسول پدرعباس،غلامحسين اسلام زاده،محمود منجگاني
