Abstract of a paper by Isabelle Chalendar, Emmanuel Fricain, and Dan Timotin
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 or http://arXiv.org/abs/0805.3409 or by email in unzipped form by transmitting an empty message with subject line uget 0805.3409 or in gzipped form by using subject line get 0805.3409 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu