Vektör Uzaylarında Arşimedyan Koniler ve Bazı Dizi Uzaylarının Çarpanlara Ayrılışı

Abstract

This Thesis consists of two parts. First, it is studied that the Archimedeanization method which had developed by Paulsen and Tomforde in an ordered vector space with an order unit was extended to arbitrary ordered vector space by Emel'yanov. Second, it is examined that Bennet gives a new way of looking at the classical inequalities. The most famous such results (those of Hilbert, Hardy and Copson) may be interpreted as inclusion relationships, l^p⊆Y, between certain (Banach) sequence spaces, the norm of the injection being the best constant of the particular inequality.