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Bulletin of the London Mathematical Society Advance Access originally published online on March 20, 2008
Bulletin of the London Mathematical Society 2008 40(2):227-238; doi:10.1112/blms/bdn002
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© 2008 London Mathematical Society

The scattering matrix and the differences of spectral projections

Alexander Pushnitski

Department of Mathematics
King's College London
Strand
London
WC2R 2LS
United Kingdom

Received 13 April 2007. Revision received 19 October 2007.

In the scattering theory framework, we point out a connection between the spectrum of the scattering matrix of two operators and the spectrum of the difference of spectral projections of these operators.

2000 Mathematics Subject Classification 47A40 (primary), 35P25 (secondary).


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