Question: Let X be an infinite-dimensional normed vector space over a field F. Let T be a compact operator (completely continuous), i.e., T K ( X

Let X be an infinite-dimensional normed vector space over a field F. Let T be a compact operator (completely continuous), i.e., TK(X). Suppose that F and (TI)1L(X) , where L(X) is the space of bounded linear operators. Show that (TI)1K(X) provided =0,I+(AI)1K(X) .

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