I need to show Sum(I-T)^k from k=0 to infinity converges absolutely to T^(-1).
Where ||I-T|| < 1.
so I can show the inverse exists, and I know this is a geometric series but when I take the limit of (I-T)^k as k-> infinity -> I get 0...
I need to show Sum(I-T)^k from k=0 to infinity converges absolutely to T^(-1).
Where ||I-T|| < 1.
so I can show the inverse exists, and I know this is a geometric series but when I take the limit of (I-T)^k as k-> infinity -> I get 0...