Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Author:
Georgakis Nikitas
Supervisors info:
Φαρμάκη Βασιλική, Καθηγήτρια, Τμήμα Μαθηματικών, ΕΚΠΑ
Original Title:
To Θεώρημα l_1 του Rosenthal
Translated title:
Rosenthal's l_1 theorem
Summary:
The main purpose of this thesis is the proof of Rosenthal's l1 theorem.In the rst chapter,
we present the basic concepts of topological spaces and basic results of functional
analysis.The second chapter contains two proofs of Ramsey's theorem, the rst based on
combinatorics, while the second based is on the theory of lters.In the third chapter we
present the theory of Schauder bases.Finally, in the fourth chapter we prove the important Nash-Williams theorem, which is a fundamental element for the proof of the main theorem of this thesis.In this point, we have to note that despite the fact that the rst chapter contains many concepts of topology and functional analysis, everything which is omited from metric spaces and other results that have not been presented, are considered to be known.
Main subject category:
Science
Keywords:
Ramsey's theorem, Schauder bases, Nash-Williams theorem, Rosenthal
File:
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nikitasgeorgakis_ekpa_thesis.pdf
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