پديد آورنده :
اعلايي، اعظم
عنوان :
گسترش لم فيليپس در فضاهاي باناخ
مقطع تحصيلي :
كارشناسي ارشد
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
ده، [69]ص.: مصور
يادداشت :
ص.ع. به فارسي و انگليسي
استاد راهنما :
سيما سلطاني رناني
استاد مشاور :
فريد بهرامي
واژه نامه :
فارسي به انگليسي
توصيفگر ها :
آناليز تابعي , عملگر دانفورد - پتيس , فضاهاي باناخ
استاد داور :
محمود منجگاني، مهدي نعمتي
تاريخ ورود اطلاعات :
1396/05/30
چكيده انگليسي :
An Extention Of The Phillips Lemma For Banach Spaces Azam Alaei azam alaei@math iut ac ir 2017 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Sima Soltani Renani simasoltani@cc iut ac ir Advisor Dr Farid Bahrami fbahrami@cc iut ac ir 2010 MSC 46B20 46B03 Keywords Phillips lemma Phillips property week Phillips property complemented sub space Abstract The problem related to complemented subspace are in the heart of theory of Banachspaces These are more than fty years old and play a key role in the development of theBanach space theory This problem asks in general which closed subspaces of a banachspace are complemented In 1937 Murray proved for the rst time that p p 2 p 1has non complemented subspace Philips proved that c0 is non complemented in Thissigni cant fact has been re ned reproved or generalized by many mathematicians Banachand Mazur showed that all subspaces in C 0 1 which are isometrically isomorphic to 1 orL1 0 1 are non complemented By a well known result of R Phillips the canonical projection p c c is sequentially 0 0week norm contiinuous We will say that a Banach space X has the Phillips property if the canonical projectionp X X is sequentially week norm continuous and that X has the week Phillips
استاد راهنما :
سيما سلطاني رناني
استاد مشاور :
فريد بهرامي
استاد داور :
محمود منجگاني، مهدي نعمتي
