Bela Bollobas (University of Cambridge)

Linear Analysis

An Introductory Course

• Broschiertes Buch

Produktbeschreibung

Now revised and updated, this introduction to functional analysis is intended for advanced undergraduate students with some background in real analysis. The author includes results of application in contemporary mathematics and shows the relevance of functional analysis to other areas. An outstanding feature is the large number of exercises.

Produktdetails

• Verlag: Cambridge University Press
• 2 Revised edition
• Seitenzahl: 256
• Erscheinungstermin: 20. Februar 2004
• Englisch
• Abmessung: 229mm x 152mm x 15mm
• Gewicht: 388g
• ISBN-13: 9780521655774
• ISBN-10: 0521655773
• Artikelnr.: 22111997

Inhaltsangabe

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.