Narici, Lawrence

Topological vector spaces / Lawrence Narici, Edward Beckenstein - 2nd ed. - Boca Raton, FL : CRC Press, 2011 - xvii, 610 p. : ill. ; 25 cm. - Monographs and textbooks in pure and applied mathematics ; 296 . - Monographs and textbooks in pure and applied mathematics ; 296 .

Includes bibliographical references (p. 555-590) and index

1. Background -- 2. Commutative topological groups -- 3. Completeness -- 4. Topological vector spaces -- 5. Locally convex spaces and seminorms -- 6. Bounded sets -- 7. Hahn-Banach theorems -- 8. Duality -- 9. Krein-Milman and Banach-Stone -- 10. Vector- valued Hahn-Banach theorems -- 11. Barreled spaces -- 12. Inductive limits -- 13. Bornological spaces -- 14. Closed graph theorems -- 15. Reflexivity -- 16. Norm convexities and approximation

9781584888666 1584888660


Linear topological spaces