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BMS-DMV LIEGE 2001
June 8-10, 2001
University of Liège
Liège, Belgium

Organizers
Klaus D. Bierstedt, J. Schmets

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Eigenvalue estimates for operators and matrices
by
Carsten Michels
University of Leeds
Coauthors: Andreas Defant (University of Oldenburg), Mieczyslaw Mastylo (University of Poznan)

König proved that for an operator on l2 with values in lp, 1 <= p < 2, its sequence of eigenvalues is contained in lr, where 1/r=1/p-1/2. We give a proper extension of this result within the framework of symmetric Banach sequence spaces, using inequalities for Weyl numbers of absolutely summing operators and our recent results on summing inclusion maps. Similar techniques also enable us to generalize a celebrated eigenvalue estimate for matrices due to Johnson, König, Maurey and Retherford.

Date received: March 6, 2001

Copyright © 2001 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 # cafv-74.