11528

10591

كارشناسي ارشد

آناليز

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

1395

شش، 77ص.

رسول نصراصفهاني

احسان انجيدني

به فارسي و انگليسي

مهدي نعمتي، سيما سلطاني رناني

1395/07/18

رياضي

ID10591

Shift Operators On Banach Spaces Of Continuous Functions ASMA HAJIESMAILI a hajiesmaili@math iut ac ir June 2016 A Thesis for the Degree of Master of Science in Mathematics in Farsi Departement of Mathematical Sciences Isfahan University of Technology Isfahan 84156 8311 IranSupervisor Professor Rasoul Nasr Isfahani isfahani@cc iut ac irAdvisor Dr Ehsan Anjidani anjidani@neyshabur ac ir2010 MSC 46E15 47B38 54D65 Key Words Backward shift Banach spaces Compact Hausdorff space Continuousfunction Forward shift Shift operator Abstract In this thesis we give an expanded account of shift operators on Banach spaces The basic concept of unilateral shift operators have been proposed on Hilbert spaces In fact if H is the separable Hilbert space and t n u8 is orthogonal base of H then a bounded n 1linear operator T H H is called a forward shift if we have T n n 1 for all n 1 Bounded linear operator T on H is called backward shift if T 1 0 and have T n n 1 forall n 2 Have been proposed several extensions of this type of operator on Banach spaces Crownover 4 for the first time in 1972 given a basis free definition of a forward shift on a general Banachspace According to this concept a bounded linear operator T on Banach space E is called a forwardshift if 1 T E E is an isometry 2 The range of T has codimension 1

رسول نصراصفهاني

احسان انجيدني

مهدي نعمتي، سيما سلطاني رناني