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19th International Conference on Operator Theory
June 27 - July 2, 2002
Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timisoara
Timisoara, Romania

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Commutators and Dunford spectral projectors
by
Mihai Sabac
Bucharest University

Let Q and Q' be two bounded operators on some Banach space X and E(\sigma;Q), E(\sigma';Q') their bounded spectral projectors corresponding to \sigma and \sigma' - separate parts of the spectra of Q and Q', respectively.

The class of intertwinning operators X of E(\sigma;Q), E(\sigma';Q') can be described by the inequality

limsup
n --> \infty 
 ||Cn(Q, Q')X||1/n <= \rho
for some ``good'' positive numbers \rho.

Date received: June 19, 2002

Copyright © 2002 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 # caiz-82.