On a problem of H. P. Rosenthal concerning operators on C[0, 1]

• Autores: I. Gasparis
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 218, Nº 5, 2008, págs. 1512-1525
• Idioma: inglés
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• Resumen

  • 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