Orr Moshe Shalit

The Analyst's Gambit

A Second Course in Functional Analysis

• Gebundenes Buch

Produktbeschreibung

The Analyst's Gambit: A Second Course in Functional Analysis is a textbook written to serve a graduate course in Functional Analysis. It provides a sequel to the author's other volume, A First Course in Functional Analysis, but it is not necessary to have read one in order to make use of the other.

Produktdetails

• Verlag: Chapman and Hall/CRC
• Seitenzahl: 268
• Erscheinungstermin: 16. September 2025
• Englisch
• Abmessung: 240mm x 161mm x 19mm
• Gewicht: 570g
• ISBN-13: 9781032286570
• ISBN-10: 1032286571
• Artikelnr.: 74064520

Autorenporträt

Orr Moshe Shalit is a professor of mathematics at the Technion Israel Institute of Technology, where he teaches and conducts research in operator theory, operator algebras, functional analysis and function theory. His first book, A First Course in Functional Analysis, was published by Chapman & Hall / CRC in 2017.

Inhaltsangabe

Preface 1. Basic notions and first examples of Banach spaces 2. The
Hahn-Banach theorems and duality 3. The dual spaces of Lp and C0(X) 4. The
open mapping, uniform boundedness and closed graph theorems 5. Further
aspects of duality: weak convergence and the adjoint 6. Locally convex
spaces and weak topologies 7. The Krein-Milman theorem and applications 8.
Banach algebras 9. Commutative Banach algebras 10. C*-algebras 11. The
spectral theorem and von Neumann algebras 12. Representations of
C*-algebras 13. Unbounded operators Bibliography Index