TY - BOOK AU - Torchinsky, Alberto AU - Torchinsky, Alberto TI - Problems in Real and Functional Analysis T2 - Graduate studies in mathematics, v. 166 SN - 9789393330239 U1 - 515.7 TOR PY - 2015/// CY - Providence, Rhode Island PB - American Mathematical Society KW - Mathematics KW - Analysis KW - Mathematical analysis -- Textbooks KW - Functional analysis -- Textbooks KW - Set theory -- Textbooks KW - Set theory KW - Metrischer Raum N1 - PART I. PROBLEMS -- CHAPTER I. Set Theory and Metrie Spaees, p.3 -- Problems, p.6 -- CHAPTER 2 Measures, p.13 -- Problems, p.15 -- CHAPTER 3. Lebesgue Measure, p.29 -- Problems, p.30 -- CHAPTER 4. Measurable and Integrable Functions, p.41 -- Problems, p.44 -- CHAPTER 5. LP Spaces, p.59 -- Problems, p.60 -- CHAPTER 6. Sequenees of Funetions, p.75 -- Problems, p.76 -- CHAPTER 7. Produet Measures, p.93 -- Problems, p.95 -- CHAPTER 8. Normed Linear Spaces Functionals, p.105 -- Problems, p.108 -- CHAPTER 9. Normed Linear Spaces. Linear Operators, p.125 -- Problems, p.127 -- CHAPTER 10. Hilbert Spaces, p.147 -- Problems, p.150 -- PART 2. SOLUTIONS -- CHAPTER 11. Set Theory and Metrie Spaces, p.169 -- Solutions, p.169 -- CHAPTER 12. Measures, p.191 -- Solutions, p.191 -- CHAPTER 13. Lebesgue Measure, p.221 -- Solutions, p.221 -- CHAPTER 14. Measurable and Integrable Functions, p.249 -- Solutions, p.249 -- CHAPTER 15. LP Spaees, p.283 -- Solutions, p.283 -- CHAPTER 16. Sequenees of Functions, p.315 -- Solutions, p.315 -- CHAPTER 17. Product Measures, p.349 -- Solutions, p.349 -- CHAPTER 18. Solutions, p.365 -- CHAPTER 19. Normed Linear Spaces. Linear Operators, p.403 -- Solutions, p.403 -- CHAPTER 20. Hilbert Spaces, p.433 -- Solutions, p.433 -- Index, p.465 ER -