انواع معينة من المؤثرات الخطية في فضاء هيلبرات الاحتمالي == Certain Types of Linear Operators on Probabilistic Hilbert Space
Author name:
لانا عزيز يوسف المطلبي
Supervisor name:
راضي ابراهيم محمد علي
General topic:
Mathematics
Specific topic:
Mathematics
Degree:
Master
University:
University of Baghdad
Language:
English
University location:
Baghdad
First pages:
27T1017 - p.pdf
Abstract:
The purpose of this thesis is to present certain types of linear operators on Probabilistic Hilbert Space. The definition of these operators is based on the definition of probabilistic inner product space which was first given by Schweizer and Sklar [17] in 1983.Some authors, later, studied this concept and introduced a new definition for the probabilistic inner product space (PIP - space). This new definition is called (The modified probabilistic inner product space).This thesis actually centers on introducing the Self - adjoint operator, ???? - bounded operator, ???? - continuous operator and ???? - compact operator that are defined on probabilistic Hilbert space. Their properties and connections are also discussed
