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arXiv:1106.0812 [math.FA]AbstractReferencesReviewsResources

Operator identities corresponding to inverse problems

B. Fritzsche, B. Kirstein, I. Ya. Roitberg, A. L. Sakhnovich

Published 2011-06-04Version 1

The structured operators and corresponding operator identities, which appear in inverse problems for the self-adjoint and skew-self-adjoint Dirac systems with rectangular potentials, are studied in detail. In particular, it is shown that operators with the close to displacement kernels are included in this class. A special case of positive and factorizable operators is dealt with separately.

Journal: Indagationes Mathematicae 23 (2012), 690-700
Categories: math.FA, math.CA
Subjects: 45H05, 47G10, 34L40, 47A68
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