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11728

كارشناسي ارشد

رياضي محض، آناليز

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

1396

پنج، 77ص.: مصور

ص.ع. به فارسي و انگليسي

1396/07/01

كتابنامه

علوم رياضي

رياضي

ID11728

Topological Characterisation of The Banach Algebra of Weakly Compact Operators MARYAM KHORSANDI m khorsandi@math iut ac ir June 2017 A Thesis for the Degree of Master of Science in Farsi Departement of Mathematical Sciences Isfahan University of Technology Isfahan 84156 8311 IranSupervisor Professor Rasoul Nasr Isfahani isfahani@cc iut ac irAdvisor Dr Mehdi Nemati m nemati@cc iut ac ir2000 MSC 47B07 47A20 47L05 46B99 Key Words Banach algebra weakly compact operator right topology pseudoweakly compact operator Abstract In this thesis we give an expanded account of topological characterisation of weakly compactoperators by Peralta Villanueva Wright and Ylinen in 2007 We first study weak topology on a Banach space X and weakly compact subsets of X As a cansequence of this study we introduce and inrestigate weakly compact operators onX We then consider the Banach algebra of all weakly compact operators on X and presentvarious algebraic and topological aspects of analysis on this structure In the sequal topological characterisation of weakly compact operators on X will be

رسول نصر اصفهاني

مهدي نعمتي

فاطمه اختري، محمود منجگاني