{ "id": "1106.0812", "version": "v1", "published": "2011-06-04T11:12:12.000Z", "updated": "2011-06-04T11:12:12.000Z", "title": "Operator identities corresponding to inverse problems", "authors": [ "B. Fritzsche", "B. Kirstein", "I. Ya. Roitberg", "A. L. Sakhnovich" ], "journal": "Indagationes Mathematicae 23 (2012), 690-700", "categories": [ "math.FA", "math.CA" ], "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.", "revisions": [ { "version": "v1", "updated": "2011-06-04T11:12:12.000Z" } ], "analyses": { "subjects": [ "45H05", "47G10", "34L40", "47A68" ], "keywords": [ "operator identities corresponding", "inverse problems", "skew-self-adjoint dirac systems", "rectangular potentials", "corresponding operator identities" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1106.0812F" } } }