11. Let {f} be a sequence of functions in LP[0, 1], p> 1. Suppose that {f}...
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11. Let {f} be a sequence of functions in LP[0, 1], p> 1. Suppose that {f} converges a.e to a function f e LP[0, 1], and also there are positive constants and M such that for all n f Land || fn ||p+< M. Prove that ff in L[0, 1]. 11. Let {f} be a sequence of functions in LP[0, 1], p> 1. Suppose that {f} converges a.e to a function f e LP[0, 1], and also there are positive constants and M such that for all n f Land || fn ||p+< M. Prove that ff in L[0, 1].
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Related Book For
Accounting
ISBN: 978-0324188004
21st Edition
Authors: Carl s. warren, James m. reeve, Philip e. fess
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