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Exercises in functional analysis/ Constantin Costara and Dumitru Popa

By: Costara, ConstantinContributor(s): Popa, DumitruMaterial type: Text

TextSeries: (Kluwer texts in the mathematical sciences) ; v. 26Publication details: New York: Springer, 2003Description: x, 451 p. ; 25 cmISBN: 9781402015601Subject(s): Functional analysisDDC classification: 515.7

Contents:

Part I. Normed spaces -- Chapter 1. Open, closed, and bounded sets in normed spaces -- 1.1. Exercises -- 1.2. Solutions -- Chapter 2. Linear and continuous operators on normed spaces -- 2.1. Exercises -- 2.2. Solutions -- Chapter 3. Linear and continuous functionals. Reflexive spaces -- 3.1. Exercises -- 3.2. Solutions -- Chapter 4. The distance between sets in Banach spaces -- 4.1. Exercises -- 4.2. Solutions -- Chapter 5. Compactness in Banach spaces. Compact operators -- 5.1. Exercises -- 5.2. Solutions -- Chapter 6. The Uniform Boundedness Principle -- 6.1. Exercises -- 6.2. Solutions -- Chapter 7. The Hahn-Banach theorem -- 7.1. Exercises -- 7.2. Solutions -- Chapter 8. Applications for the Hahn-Banach theorem -- 8.1. Exercises -- 8.2. Solutions -- Chapter 9. Baire's category. The open mapping and closed graph theorems -- 9.1. Exercises -- 9.2. Solutions -- Part II. Hilbert spaces -- Chapter 10. Hilbert spaces, general theory -- 10.1. Exercises -- 10.2. Solutions -- Chapter 11. The projection in Hilbert spaces -- 11.1. Exercises -- 11.2. Solutions -- Chapter 12. Linear and continuous operators on Hilbert spaces -- 12.1. Exercises -- 12.2. Solutions -- Part III. General topological spaces -- Chapter 13. Linear topological and locally convex spaces -- 13.1. Exercises -- 13.2. Solutions -- Chapter 14. The weak topologies -- 14.1. Exercises -- 14.2. Solutions.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	515.7 COS/E (Browse shelf(Opens below))	Checked out	05/06/2021	P25414

Total holds: 0

Part I. Normed spaces --
Chapter 1. Open, closed, and bounded sets in normed spaces --
1.1. Exercises --
1.2. Solutions --
Chapter 2. Linear and continuous operators on normed spaces --
2.1. Exercises --
2.2. Solutions --
Chapter 3. Linear and continuous functionals. Reflexive spaces --
3.1. Exercises --
3.2. Solutions --
Chapter 4. The distance between sets in Banach spaces --
4.1. Exercises --
4.2. Solutions --
Chapter 5. Compactness in Banach spaces. Compact operators --
5.1. Exercises --
5.2. Solutions --
Chapter 6. The Uniform Boundedness Principle --
6.1. Exercises --
6.2. Solutions --
Chapter 7. The Hahn-Banach theorem --
7.1. Exercises --
7.2. Solutions --
Chapter 8. Applications for the Hahn-Banach theorem --
8.1. Exercises --
8.2. Solutions --
Chapter 9. Baire's category. The open mapping and closed graph theorems --
9.1. Exercises --
9.2. Solutions --
Part II. Hilbert spaces --
Chapter 10. Hilbert spaces, general theory --
10.1. Exercises --
10.2. Solutions --
Chapter 11. The projection in Hilbert spaces --
11.1. Exercises --
11.2. Solutions --
Chapter 12. Linear and continuous operators on Hilbert spaces --
12.1. Exercises --
12.2. Solutions --
Part III. General topological spaces --
Chapter 13. Linear topological and locally convex spaces --
13.1. Exercises --
13.2. Solutions --
Chapter 14. The weak topologies --
14.1. Exercises --
14.2. Solutions.

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