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Problems in Real and Functional Analysis
About this Title
Alberto Torchinsky, Indiana University, Bloomington, IN
Publication: Graduate Studies in Mathematics
Publication Year:
2015; Volume 166
ISBNs: 978-1-4704-2057-4 (print); 978-1-4704-2781-8 (online)
DOI: https://doi.org/10.1090/gsm/166
MathSciNet review: MR3443231
MSC: Primary 00A07; Secondary 26-01, 28-01, 46-01, 47-01
Table of Contents
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Front/Back Matter
Part 1. Problems
- Chapter 1. Set theory and metric spaces
- Chapter 2. Measures
- Chapter 3. Lebesgue measure
- Chapter 4. Measurable and integrable functions
- Chapter 5. $L^p$ spaces
- Chapter 6. Sequences of functions
- Chapter 7. Product measures
- Chapter 8. Normed linear spaces. Functionals
- Chapter 9. Normed linear spaces. Linear operators
- Chapter 10. Hilbert spaces
Part 2. Solutions
- Chapter 11. Set theory and metric spaces
- Chapter 12. Measures
- Chapter 13. Lebesgue measure
- Chapter 14. Measurable and integrable functions
- Chapter 15. $L^p$ spaces
- Chapter 16. Sequences of functions
- Chapter 17. Product measures
- Chapter 18. Normed linear spaces. Functionals
- Chapter 19. Normed linear spaces. Linear operators
- Chapter 20. Hilbert spaces