Lectures on Rosenthal's L 1 -theorem
نویسنده
چکیده
Let (x n) be a bounded sequence in a Banach space X. Rosenthal's l 1-theorem states that there is essentially only one exceptional situation where it is not possible to extract a subsequence which is a weak Cauchy sequence: This happpens if (x n) is the sequence of unit vectors in l 1. The aim of these lectures is twofold: On the one hand results from the last few years centering around this theorem are presented, and on the other hand the opportunity is taken to introduce the audience to a number of techniques which are of importance in modern Banach space theory (Ramsey theory, Martin's axiom,. . .).
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