المستودع الرقمي العراقي
Iraqi Digital Repository
تحلل الحزم المتجهة البناخية القابلة للانفصال في الحقول اقياسية من الحزم البناخية == The Decomposition of Separable Banach - Vector Lattice into A Measurable Field of Banach Lattice
اسم المؤلف:
زينب حسن عبود
اسم المشرف:
علي حسين بتور
الموضوع العام:
علوم الرياضيات
السنة:
2012
الموضوع الدقيق:
الرياضيات
الدرجة:
ماجستير
الجامعة:
جامعة الكوفة - كلية التربية للبنات - قسم الرياضيات
اللغة:
الانكليزية
مكان الجامعة:
النجف
الصفحات الاولى:
📎 27T1106 - p.pdf
المستخلص:
his study deals with measurable families of - Banach lattices and the decomposition of a separable Banach - vector lattices into a measurable fields of Banach lattices . It is established that any separable Banach - vector lattice permits a decomposition into measurable fields of ordinary Banach lattices .This thesis consists of three chapters : Chapter one is divided into two sections , chapter two is divided into three sections and chapter three is divided into two sections.In chapter one and two some definitions are introduced as well as the theorems and the basic facts that used in our work .Chapter three includes the fundamental results : 1) If ̂ be the set of all classes for P - almost everywhere coinciding elements from a measurable field of Banach spaces , then Archimedean condition is satisfied in ̂ .2) Let be a measurable field of Banach space generating ̂, then , we can define a structure Banach Lattice on such that , the order in for almost everywhere induces the order in ̂ .3) The Freudenthal unit exists in ̂ , if and only if , it exists in almost everywhere .4) Let be a measurable field of Banach lattice , then ( ̂ ‖ ‖ ̂ is a separable Banach ̂ - vector lattice .5) Let ̂ ‖ ‖ ̂ be a separable Banach ̂ - vector lattices and let be a measurable field of Banach space generating ̂ . Then , it is possible to determine a partial order on such that ̂ ‖ ‖ will be a Banach lattice and ̂ ‖ ‖ ̂ will be a measurable field of Banach lattice for P - almost every .
مشاركة البيانات
Share Data