Document Details Document Type : Thesis  Document Title : HS-Spaces فراغات (HS)   Subject : Mathematics  Document Language : Arabic  Abstract : A grothndieck, a french mathematics in functional analysis, proved that a materizable locally convex space X is distinguished if and only if the strong dual of X is bornolgical. In 1975 a generalization of distinguished space was introduced. It is called a Hussain space. One the of the results proves Hussain space, which is similar to Grotheniecks result is that a Husain space E is distingushed if and only if the strong dual E if quasiberrelled. In the thesis we introduce a generalization of Husain space which we have called HS-space. We prove some results for HS-Space which are similar to Grothendiecks result. One of the results is that a HS-Space E is Hussain space if and only if the strong dual of E is countably quasibarrelled. Another results is that a HS-Space E is distinguished if and only if the strong dual of E is quassibarrelled. We also introduce sequentially HS-Space which generlized HS-spaces and prove some results  Supervisor : Dr. Seri Nawas Khalil Allah  Thesis Type : Master Thesis  Publishing Year : 1419 AH 1998 AD  Co-Supervisor : Prof. Mohammed Ali Al-Ghamdi  Added Date : Wednesday, June 11, 2008  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email هيفاء محمد السحيلي AL-Saheli, Haifaa Mohammad Researcher Master   Files File Name Type Description  23649.pdf pdf المستخلص  23650.pdf pdf Abstract Back To Researches Page