This is an announcement for the paper "A note on James spaces and superstrictly singular operators" by Isabelle Chalendar, Emmanuel Fricain, and Dan Timotin.

Abstract: 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.

Archive classification: math.FA

The source file(s), James.tex: 20594 bytes, is(are) stored in gzipped form as 0805.3409.gz with size 7kb. The corresponding postcript file has gzipped size 70kb.

Submitted from: fricain@math.univ-lyon1.fr

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/0805.3409

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http://arXiv.org/abs/0805.3409

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