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arxiv: 0805.3409 · v1 · pith:X2CUGXTRnew · submitted 2008-05-22 · 🧮 math.FA

A note on James spaces and superstrictly singular operators

classification 🧮 math.FA
keywords singularsuperstrictlyjamesspacescharlesconsequenceconstructedelementary
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An elementary lemma is used in order to show that the natural inclusion $J_p\to J_q$ of James spaces is superstrictly singular for $p<q$. As a consequence, it is shown that an operator without nontrivial invariant subspaces constructed by Charles Read is superstrictly singular.

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