Jan van Neerven (The Netherlands Technische Universiteit Delft)

Functional Analysis

• Gebundenes Buch

Produktbeschreibung

This comprehensive introduction to functional analysis covers both the abstract theory and applications. With carefully written out proofs, more than 300 problems, and appendices covering prerequisites, this self-contained volume can be used as a text for a graduate-level course and as a reference text for researchers in the field.

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Produktdetails

• Cambridge Studies in Advanced Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 728
• Erscheinungstermin: 7. Juli 2022
• Englisch
• Abmessung: 235mm x 157mm x 47mm
• Gewicht: 1236g
• ISBN-13: 9781009232470
• ISBN-10: 1009232479
• Artikelnr.: 63399581

Autorenporträt

Jan van Neerven holds an Antoni van Leeuwenhoek professorship at Delft University of Technology. Author of four books and more than 100 peer-reviewed articles, he is a leading expert in functional analysis and operator theory and their applications in stochastic analysis and the theory of partial differential equations.

Inhaltsangabe

1. Banach spaces
2. The classical Banach spaces
3. Hilbert spaces
4. Duality
5. Bounded operators
6. Spectral theory
7. Compact operators
8. Bounded operators on Hilbert spaces
9. The spectral theorem for bounded normal operators
10. The spectral theorem for unbounded normal operators
11. Boundary value problems
12. Forms
13. Semigroups of linear operators
14. Trace class operators
15. States and observables
Appendix A. Zorn's lemma
Appendix B. Tensor products
Appendix C. Topological spaces
Appendix D. Metric spaces
Appendix E. Measure spaces
Appendix F. Integration
Appendix G. Notes
References
Index.