Let {λn} be a sequence of scalars that converges to
zero, limn→∞ λn = 0. Show...
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Let {λn} be a sequence of scalars that converges tozero, limn→∞ λn = 0. Show that the operator A: ℓ2 → ℓ2 , A(x1, x2,..., xn, ...) = (λ1x1,λ2x2, ..., λnxn, ...)is compact. What is the spectrum of this operator?
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