English

A note on James spaces and superstrictly singular operators

Functional Analysis 2014-02-17 v1

Abstract

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

Cite

@article{arxiv.0805.3409,
  title  = {A note on James spaces and superstrictly singular operators},
  author = {Isabelle Chalendar and Emmanuel Fricain and Dan Timotin},
  journal= {arXiv preprint arXiv:0805.3409},
  year   = {2014}
}
R2 v1 2026-06-21T10:43:08.073Z