Problems in Real and Functional Analysis

Torchinsky, Alberto

Problems in Real and Functional Analysis / Alberto Torchinsky - Providence, Rhode Island American Mathematical Society @2015 - x, 467p 26 cm. - Graduate studies in mathematics, v. 166. .

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.

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Mathematics
Analysis
Mathematical analysis -- Textbooks.
Functional analysis -- Textbooks.
Set theory -- Textbooks.
Set theory.
Metrischer Raum

515.7 TOR

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