Atlas home || Conferences | Abstracts | about Atlas

Functional Analysis Valencia 2000
July 3-7, 2000
Technical University of Valencia (UPV) and University of Valencia (UV)
Valencia, Spain

Organizers
R.M. Aron (Kent State U., USA), K.D. Bierstedt (U. Paderborn, Germany), J. Bonet (UPV), J. Cerdŕ (U. Barcelona, Spain), H. Jarchow (U. Zürich, Switzerland), M. Maestre (UV), J. Schmets (U. Ličge, Belgium)

View Abstracts
Conference Homepage

Factorization of (\infty, \sigma)-integral operators
by
G. Arango
Universidad EAFIT, Medellín, Colombia
Coauthors: J. A. López Molina, M. J. Rivera

Let g\infty, \sigma, 0 < \sigma < 1, be the tensor norm in the class of Banach spaces such that the topological dual of every tensor product is the space of (1, \sigma) absolutely continuous operators of Matter. We study the (\infty, \sigma) nuclear and (\infty, \sigma) integral operators associated to this tensor norm. Precisely we show that an operator T:E --> F is (\infty, \sigma)-integral if and only if its composition with the canonical inclusion F subset F'' factorizes as BIDA, where D is a positive diagonal operator from L\infty(\mu) into L1/(\sigma)(\mu), I is the inclusion map from L1/(\sigma)(\mu) into a subspace of L1(\mu) +L\infty(\mu) (for some \sigma-finite measure space (\Omega, \mu)) and A and B are continuous operators.

(T)

Date received: March 3, 2000

Copyright © 2000 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 # caei-23.