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Unit 7: Convergence and Completeness
Notes
p
p
If f L (p > 0), f 0 and f = min (f, n) (n N), show that f L and lim f f = 0.
n n n n p
7.5 Further Readings
Books H.L. Royden, Real analysis.
Walter Rudin, Real and Complex Analysis, Third, McGraw-Hill Book Co., New
York, 1987.
Online links www.public.iastate.edu
www.scribd.com/doc/49732162/103.Convergence-and-Completeness.
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