12534

11469

كارشناسي ارشد

رياضي محض، آناليز

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

1396

شش،[81]ص.: مصور

ص. ع. به فارسي و انگليسي

رسول نصر اصفهاني

فاطمه اختري

مهدي نعمتي، سيما سلطاني

1396/04/21

كتابنامه

علوم رياضي

رياضي

ID11469

Amenability of The Banach Algebra of Compact Operators NAJMEH SHAFIE n shafie@math iut ac ir February 2017 Master of Science Thesis in Farsi Departement of Mathematical Sciences Isfahan University of Technology Isfahan 84156 8311 IranSupervisor Professor Rasoul Nasr Isfahani isfahani@cc iut ac ir2000 MSC 43A07 46H05 Key Words compact operator Banach algebra amenable approximate amenable fairly close to Hilbert space Abstract In this thesis we introduce and study the Banach algebra of compact operator Admittedly we prove that if X is a Banach space Then the collection of compactoperators on X is a Banach algebra We also prove that if H is a separable Hilbertspace then KpHq is a C algebra The C algebra KpHq contains the space F pHqof finite rank operators on H as a dense subset It has an identity element if and onlyif H is finite dimentional We then present an expanded accound of approximate amenability of Banachalgebra of compact operators based on article by Ghahramani and Read p2014q A Banach algebra A is called amenable if for every A bimodule E every boundeddrivation D A E is inner We show that if X is a Banach space and KpXq

رسول نصر اصفهاني

فاطمه اختري

مهدي نعمتي، سيما سلطاني