Submitted manuscript, 367 KB, PDF document
Research output: Contribution to Journal/Magazine › Journal article › peer-review
<mark>Journal publication date</mark> | 2013 |
---|---|
<mark>Journal</mark> | Journal of Operator Theory |
Issue number | 1 |
Volume | 70 |
Number of pages | 17 |
Pages (from-to) | 291-307 |
Publication Status | Published |
<mark>Original language</mark> | English |
A theorem of Giesy and James states that c0 is finitely representable in James' quasi-reflexive Banach space J2. We extend this theorem to the pth
quasi-reflexive James space Jp for each p∈(1,∞). As an application, we obtain a new closed ideal of operators on Jp, namely the closure of the set of operators that factor through the complemented subspace (l∞1⊕l∞2⊕...⊕l∞n⊕...)lp of Jp.