Type-Cotype and the Maurey-Pisier theorem

Postgraduate Thesis uoadl:1681341 550 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2017-06-23
Year:
2017
Author:
Sterios Vasilis
Supervisors info:
Δ. Γατζούρας, Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Α. Γιαννόπουλος, Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ (επιβλέπων)
Α. Κατάβολος, Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Original Title:
Type-Cotype και το θεώρημα Maurey-Pisier
Languages:
Greek
Translated title:
Type-Cotype and the Maurey-Pisier theorem
Summary:
In this master thesis we study the notions of type, cotype and finite representability of Banach spaces. We prove three main theorems about finite representability of lp spaces in infinite dimensional Banach spaces : The Krivine theorem, the Maurey-Pisier theorem and the Pisier theorem about the stable type p constant of a Banach space.
Main subject category:
Science
Keywords:
type, cotype, finite representability, ultraproducts, p-stable random variables
Index:
No
Number of index pages:
0
Contains images:
No
Number of references:
46
Number of pages:
162
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