Re: ||x|| <= C*(||Kx|| + ||Tx||) => dimkerT < oo
- From: fflittle@xxxxxxxxx
- Date: Mon, 5 May 2008 09:40:10 -0700 (PDT)
On May 5, 8:13 am, Nik <nikita2.evs...@xxxxxxxxx> wrote:
Hi, I need any help. The problem is
X, Y, Z, are Banach spaces
T in B(X, Y) bounded operator, K in K(X, Z) compact operator
Let There is C>0 : for all x in X ||x|| <= C*(||Kx|| + ||Tx||)
Then 1) dimkerT < infinity
2) imT in CL(Y)
Get mathtype or Mathematica. set up your post ofline then paste it in.
I have trouble comprehending your QUESTION.
.
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