Topological vector spaces
By: Lawrence Narici, Edward Beckenstein
Contributors: Beckenstein, Edward, 1940-
Edition: 2nd ed.
Series: Monographs and textbooks in pure and applied mathematics; Monographs and textbooks in pure and applied mathematics -- 296.
Publisher: CRC Press
Published: 2011
Place of publication: Boca Raton, FL
Language: eng
Number of pages: 610
ISBN-13: 9781584888666
Subjects: Linear topological spaces
Notes: Includes bibliographical references (p. 555-590) and index.
Table of contents: title: 1. Background; title: 2. Commutative topological groups; title: 3. Completeness; title: 4. Topological vector spaces; title: 5. Locally convex spaces and seminorms; title: 6. Bounded sets; title: 7. Hahn-Banach theorems; title: 8. Duality; title: 9. Krein-Milman and Banach-Stone; title: 10. Vector- valued Hahn-Banach theorems; title: 11. Barreled spaces; title: 12. Inductive limits; title: 13. Bornological spaces; title: 14. Closed graph theorems; title: 15. Reflexivity; title: 16. Norm convexities and approximation.