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Linear Analysis: An Introductory Course

Béla Bollobás
Publisher: 
Cambridge University Press
Publication Date: 
1999
Number of Pages: 
252
Format: 
Paperback
Edition: 
2
Price: 
39.99
ISBN: 
0521655773
Category: 
Monograph
We do not plan to review this book.

 Preface; 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.

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