Applications of Model Theory to Functional Analysis
Jose Iovino
* Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.
Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
"e;The text is well written and easy to read. A great tool for any person interested in learning relations between functional analysis and model theory."e; — MathSciNetDuring the last two decades, methods that originated within mathematical logic have exhibited powerful applications to Banach space theory, particularly set theory and model theory. This volume constitutes the first self-contained introduction to techniques of model theory in Banach space theory. The area of research has grown rapidly since this monograph's first appearance, but much of this material is still not readily available elsewhere. For instance, this volume offers a unified presentation of Krivine's theorem and the Krivine-Maurey theorem on stable Banach spaces, with emphasis on the connection between these results and basic model-theoretic notions such as types, indiscernible sequences, and ordinal ranks. Suitable for advanced undergraduates and graduate students of mathematics, this exposition does not presuppose expertise in either model theory or Banach space theory. Numerous exercises and historical notes supplement the text.
Kundenbewertungen
model theory, graduate student, school, experiments, college, graduate studies, advanced undergraduate, krivine maurey theorem, mathematics, krivines theorem, advanced mathematics, applied mathematics, functional analysis, mathematical theory, complex, scientists, undergrad, ordinal ranks, stable banach spaces, monograph, set theory, logic, banach space theory, math reference, mathematical logic