Question: 40. Here is a positive result about & , that may restore your faith in intuition. Given any (fixed) element x E 1, show that


40. Here is a positive result about & , that may restore your faith in intuition. Given any (fixed) element x E 1, show that the sequence x )= (x1, . .., Xx, 0, . . .) E l1 (i.e., the first k terms of x followed by all Os) converges to x in & 1-norm. Show that the same holds true in 42, but give an example showing that it fails (in general) in loo. D 18. Show that I|x |loo
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