7. (3) Let S1(0) = {r L2(0, 1)|||| = 1}. Prove that S1(0) is closed....
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7. (3) Let S1(0) = {r € L2(0, 1)|||| = 1}. Prove that S1(0) is closed. Prove that a continuous (not necessarily linear) function f : S1(0) → R does not necessarily achieve its minimum on Si(0), i.e., that min-eS, (0) ƒ(x) may not exist. 7. (3) Let S1(0) = {r € L2(0, 1)|||| = 1}. Prove that S1(0) is closed. Prove that a continuous (not necessarily linear) function f : S1(0) → R does not necessarily achieve its minimum on Si(0), i.e., that min-eS, (0) ƒ(x) may not exist.
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Solutin x Lelo1 l12l11 and contirues let Silo let that Sico is closed ... View the full answer
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