Asymptotic structure of banach spaces

Thesis

The notion of asymptotic structure of an infinite dimensional Banach space was introduced by Maurey, Milman and Tomczak-Jaegermann. The asymptotic structure consists of those finite dimensional spaces which can be found everywhere `at infinity'. These are defined as the spaces for which there is a winning strategy in a certain vector game. The above authors introduced the class of asymptotic $\ell_p$ spaces, which are the spaces having simplest possible asymptotic structure. Key examples of s...

Expand abstract

Authors: Dew, N

• Publisher: University of Oxford;Mathematical Institute
• Publication date: 2003
• DOI: 10.5287/ora-mqmjwzrej
• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford