Article ID Journal Published Year Pages File Type
4667400 Advances in Mathematics 2008 14 Pages PDF
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)