Banach Spaces and Descriptive Set Theory: Selected Topics

• Κύριος συγγραφέας: Dodos, Pandelis (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Σειρά: Lecture Notes in Mathematics, 1993
• Θέματα: Mathematics.; Functional analysis.; Mathematical logic.; Discrete mathematics.; Combinatorics.; Discrete Mathematics.; Functional Analysis.; Mathematical Logic and Foundations.

This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact t...

Πίνακας περιεχομένων:

• Basic Concepts
• The Standard Borel Space of All Separable Banach Spaces
• The ?2 Baire Sum
• Amalgamated Spaces
• Zippin’s Embedding Theorem
• The Bourgain–Pisier Construction
• Strongly Bounded Classes of Banach Spaces.