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Koplienko–Neidhardt trace formula for pairs of contraction operators and pairs of maximal dissipative operators

✍ Scribed by S. A. M. Marcantognini; M. D. Morán


Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
180 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

We present a generalization of Koplienko–Neidhardt trace formula for pairs of Hilbert space operators (T , V ) with T contractive and V unitary such that TV is a Hilbert–Schmidt operator. We extend the result to pairs of contractions and then, via Cayley transform, to pairs of maximal dissipative operators. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)