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SOLVED: (a) Let (X,x,p) be a measure space and 1 < p < 0. Explain how the normed space LP(p) is defined. Give particular reference to the use of equivalence classes and
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Homework 2
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SOLVED: Consider the sequence of continuous piecewise linear functions in C"([0,1]) defined by x € [0, 2 4] @nx + bn, 2 € [ 43+4 2 €[ + 4,1] fn(z) where the
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Some properties of Banach-valued sequence spaces ell p[X]