Mathematics, 20.07.2020 01:01, mel4245
Prove that for every positive integer n, one can find n + 1 linearly independent vectors in F(ā[infinity], [infinity]). [Hint: Look for polynomials.] b. Use the result in part (a) to prove that F(ā[infinity], [infinity]) is infinite-dimensional. c. Prove that C(ā[infinity], [infinity]), Cm(ā[infinity], [infinity]), and CāÆ[infinity](ā[infinity], [infinity]) are infinite-dimensional.
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Prove that for every positive integer n, one can find n + 1 linearly independent vectors in F(ā[infi...
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