{ "id": "1208.5530", "version": "v1", "published": "2012-08-27T23:41:38.000Z", "updated": "2012-08-27T23:41:38.000Z", "title": "Generalized resolvents of symmetric and isometric operators: the Shtraus approach", "authors": [ "Sergey M. Zagorodnyuk" ], "comment": "Expository paper", "categories": [ "math.FA" ], "abstract": "This exposition paper is devoted to the theory of Abram Vilgelmovich Shtraus and his disciples and followers. This theory studies the so-called generalized resolvents of symmetric and isometric operators in a Hilbert space and provides alternative formulas to the well-known Krein-type formulas. We think that it would be convenient to have an exposition of the corresponding theory with full proofs and necessary corrections.", "revisions": [ { "version": "v1", "updated": "2012-08-27T23:41:38.000Z" } ], "analyses": { "subjects": [ "47-02" ], "keywords": [ "isometric operators", "generalized resolvents", "shtraus approach", "abram vilgelmovich shtraus", "well-known krein-type formulas" ], "tags": [ "expository article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1208.5530Z" } } }