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Documents 47A12 2 results

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New spectral bounds for damped systems - Tretter, Christiane (Author of the conference) | CIRM H

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In this talk new enclosures for the spectra of operators associated with second order Cauchy problems are presented for non-selfadjoint damping. Our new results yield much better bounds than the numerical range of these non-selfadjoint operators for both uniformly accretive and sectorial damping.
(joint work with B. Jacob, Carsten Trunk and H. Vogt)

47A10 ; 47A12 ; 34G10 ; 47D06 ; 76Bxx

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The Daugavet equation for Lipschitz operators - Werner, Dirk (Author of the conference) | CIRM

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We study the Daugavet equation
$\parallel Id+T\parallel$ $=1$ $+$ $\parallel T\parallel$
for Lipschitz operators on a Banach space. For this we introduce a substitute for the concept of slice for the case of non-linear Lipschitz functionals and transfer some results about the Daugavet and the alternative Daugavet equations previously known only for linear operators to the non-linear case.

46B04 ; 46B80 ; 46B22 ; 47A12

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