| 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
![First Page Preview: On a problem of H.P. Rosenthal concerning operators on C[0,1] On a problem of H.P. Rosenthal concerning operators on C[0,1]](/preview/png/4667400.png)