TY  - BOOK
AU  - Costara, Constantin
AU  - Popa, Dumitru
TI  - Exercises in functional analysis
SN  - 9781402015601
U1  - 515.7 
PY  - 2003///
CY  - New York
PB  - Springer
KW  - Functional analysis
N1  - 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
ER  -