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Viser: Linear Analysis - An Introductory Course
Linear Analysis
An Introductory Course
Béla Bollobás
(1999)
Sprog: Engelsk
Detaljer om varen
- Paperback: 256 sider
- Udgiver: Cambridge University Press (Marts 1999)
- ISBN: 9780521655774
1. Basic inequalities;
2. Normed spaces and bounded linear operators;
3. Linear functional and the Hahn-Banach theorem;
4. Finite-dimensional normed spaces;
5. The Baire category theorem and the closed-graph theorem;
6. Continuous functions on compact spaces and the Stone-Weierstrass theorem;
7. The contraction-mapping theorem;
8. Weak topologies and duality;
9. Euclidean spaces and Hilbert spaces;
10. Orthonormal systems;
11. Adjoint operators;
12. The algebra of bounded linear operators;
13. Compact operators on Banach spaces;
14. Compact normal operators;
15. Fixed-point theorems;
16. Invariant subspaces; Index of notation; Index of terms.