Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4667400 | Advances in Mathematics | 2008 | 14 Pages |
Abstract
A problem of H.P. Rosenthal asks whether every bounded linear operator which is an isomorphism on a closed linear infinite-dimensional subspace X not containing any isomorph of c0, is actually an isomorphism on a subspace isomorphic to C[0,1]. An affirmative answer to this problem is provided when T is a contraction whose restriction to X is an isometry.
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