Applications of Model Theory to Functional Analysis

Nonfiction, Science & Nature, Mathematics, Logic
Cover of the book Applications of Model Theory to Functional Analysis by Prof. Jose Iovino, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Prof. Jose Iovino ISBN: 9780486798615
Publisher: Dover Publications Publication: September 8, 2014
Imprint: Dover Publications Language: English
Author: Prof. Jose Iovino
ISBN: 9780486798615
Publisher: Dover Publications
Publication: September 8, 2014
Imprint: Dover Publications
Language: English

"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." — MathSciNet
During 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

"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." — MathSciNet
During 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.

More books from Dover Publications

Cover of the book The Art of Painting and Drawing Animals by Prof. Jose Iovino
Cover of the book Fluvial Processes in Geomorphology by Prof. Jose Iovino
Cover of the book Beethoven's Letters by Prof. Jose Iovino
Cover of the book The Marble Faun by Prof. Jose Iovino
Cover of the book Great Short Stories by American Women by Prof. Jose Iovino
Cover of the book Knitting Counterpanes by Prof. Jose Iovino
Cover of the book Numerical Solution of Partial Differential Equations by the Finite Element Method by Prof. Jose Iovino
Cover of the book Theory and Application of Infinite Series by Prof. Jose Iovino
Cover of the book Medieval Arms and Armor by Prof. Jose Iovino
Cover of the book Charles A. Lindbergh by Prof. Jose Iovino
Cover of the book Vector Analysis by Prof. Jose Iovino
Cover of the book Yucatan Before and After the Conquest by Prof. Jose Iovino
Cover of the book Greek and Roman Oratory by Prof. Jose Iovino
Cover of the book The Style of Palestrina and the Dissonance by Prof. Jose Iovino
Cover of the book The Way of a Pilgrim and Other Classics of Russian Spirituality by Prof. Jose Iovino
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy