Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592747 | Journal of Functional Analysis | 2008 | 43 Pages |
Abstract
It is proved that every subspace of James Tree space (JT) with non-separable dual contains an isomorph of James Tree complemented in JT. This yields that every complemented subspace of JT with non-separable dual is isomorphic to JT. A new JT like space denoted as TF is defined. It is shown that every subspace of James Function space (JF) with non-separable dual contains an isomorph of TF. The later yields that every subspace of JF with non-separable dual contains isomorphs of c0 and ℓp for 2⩽p<∞. The analogues of the above results for bounded linear operators are also proved.
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