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22nd Conference in Operator Theory
July 3-8, 2008
West University
Timisoara, Romania

Organizers
Institute of Mathematics of the Romanian Academy and West University in Timisoara

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James spaces and finitely strictly singular operators
by
Dan Timotin
IMAR, Bucharest
Coauthors: I. Chalendar, E. Fricain, A. Popov, V. Troitsky

We prove that the natural inclusion Jp ⊂ Jq between James spaces is finitely strictly singular for p < q. As a consequence, an operator without invariant subspaces constructed by Ch. Read is shown to be finitely strictly singular. The proof uses an interesting elementary lemma.

Date received: June 11, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawh-84.