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...

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- January 28th 2010, 12:56 PMCarmineCortezabsolute convergence
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... - January 28th 2010, 06:25 PMtonio
- January 28th 2010, 06:50 PMCarmineCortez
- January 29th 2010, 01:53 AMHallsofIvy
- January 29th 2010, 02:58 AMtonio