پديد آورنده :
جوانشيري، حسين
عنوان :
دومين دوگان جبر اندازه با يك توپولوژي محدب موضعي
گرايش تحصيلي :
رياضي محض،آناليز هارمونيك
يادداشت :
ص.ع.به فارسي و انگليسي
استاد راهنما :
رسول نصراصفهاني
استاد مشاور :
غلام حسين اسلام زاده
توصيفگر ها :
گروه فشرده ي موضعي، دوگان دوم، يكريختي طولپا.
استاد داور :
مسعوداميني، جعفرزعفراني، فريدبهرامي
تاريخ ورود اطلاعات :
1397/08/22
دانشكده :
مهندسي برق و كامپيوتر
كد ايرانداك :
ID442 دكتري
چكيده فارسي :
به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي
چكيده انگليسي :
The second dual of the measure algebra with certain locally convex topology Hossein Javanshiri h javanshiri@math iut ac ir August 25 2012 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 Gholam Hossein Esslamzadeh esslamz@shirazu ac ir Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran AbstractIn this thesis for a locally compact group G we introduce and study the C algebra GL0 G of all generalised functions on G that vanish at in nity Moreover we give some results aboutthe structure of GL0 G and GL0 G as a Banach space for example we show that GL0 G is not a complemented subspace of GL G Finally we deal with the second dual of the mea sure algebra M G for a locally compact group G under certain locally convex topologies We rst introduce and study a locally convex topology G on M G under which the Banachspace GL0 G of all generalised functions on G that vanish at in nity can be identi ed withits strong dual Here an application of this result is made to de ne and investigate an Arensmultiplication on the second dual of M G G As the main result we show that ifG1 and G2 are locally compact groups and T is an isometric isomorphism from the Banachalgebra M G1 G1 onto M G2 G2 then G1 and G2 are homeomorphic Key WordsArens multiplication generalised functions vanishing at in nity locally compact groups mea sure algebra second dual IntroductionLet G be a locally compact group with left Haar measure and identity element e Denoteby C0 G the space of all complex valued continuous functions h on G that vanish at in nity Let also M G denote the Banach space of all complex regular Borel measures on G withthe total variation norm Then M G is the dual of C0 G for the pairing h h x d x Gfor all M G and h C0 G Moreover M G with the norm de ne by G 1
استاد راهنما :
رسول نصراصفهاني
استاد مشاور :
غلام حسين اسلام زاده
استاد داور :
مسعوداميني، جعفرزعفراني، فريدبهرامي
