Operator identities corresponding to inverse problems
Functional Analysis
2012-11-29 v1 Classical Analysis and ODEs
Abstract
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.
Cite
@article{arxiv.1106.0812,
title = {Operator identities corresponding to inverse problems},
author = {B. Fritzsche and B. Kirstein and I. Ya. Roitberg and A. L. Sakhnovich},
journal= {arXiv preprint arXiv:1106.0812},
year = {2012}
}