Applications of Model Theory to Functional Analysis (eBook)

Jose Iovino (Autor)

eBook Download: EPUB

2014
112 Seiten
Dover Publications (Verlag)
978-0-486-79861-5 (ISBN)

Infos

The first self-contained introduction to techniques of model theory, this 2002 text presents material still not readily available elsewhere, including Krivine's theorem and the Krivine-Maurey theorem on stable Banach spaces.

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"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.

Autor

José Iovino is Associate Professor of Mathematics at the University of Texas at San Antonio.

Produkt-Details

• Erscheint lt. Verlag: 8.9.2014
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Gewicht: 125 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• Schlagworte: advanced mathematics • advanced undergraduate • Applied mathematics • Banach Space Theory • College • Complex • dover books, dover books on mathematics, mathematics, math reference, applied mathematics, mathematical theory, advanced mathematics, logic, mathematical logic, model theory, functional analysis, model theory and functional analysis, advanced undergraduate, graduate student, graduate studies, college, complex, engaging, scientists, experiments, school, realistic • experiments • Functional Analysis • graduate student • Graduate Studies • krivine maurey theorem • krivines theorem • Krivine's Theorem • Logic • Mathematical Logic • Mathematical Theory • Mathematics • math reference • model Theory • Monograph • ordinal ranks • school • scientists • set theory • stable banach spaces • undergrad
• ISBN-10: 0-486-79861-5 / 0486798615
• ISBN-13: 978-0-486-79861-5 / 9780486798615