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Tx=y, where y_j=Sigma(a_k x_k) (where j runs from 1 to j).

I need to prove that

1) T has a closed graph (as a linear mapping from l_p to l_inf)

2) If a is the sequence defining T, then necessarily a in l_q, where (1/p)+(1/q)=1

Could somebody help me out with this please?