A note on James spaces and superstrictly singular operators

Isabelle Chalendar (1) , Emmanuel Fricain (1) , Dan Timotin (2)

1 ICJ - Institut Camille Jordan
2 IMAR - "Simion Stoilow" Institute of Mathematics

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

Domaines: Analyse fonctionnelle [math.FA]

Isabelle Chalendar, Emmanuel Fricain, Dan Timotin. A note on James spaces and superstrictly singular operators. Journal of Functional Analysis, 2009, 256 (4), pp.1258-1268. ⟨hal-00281371⟩