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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

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Table of Contents

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Front/Back Matter

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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