{ "id": "1802.09559", "version": "v1", "published": "2018-02-26T19:04:55.000Z", "updated": "2018-02-26T19:04:55.000Z", "title": "Biorthogonal vectors, sesquilinear forms and some physical operators", "authors": [ "Fabio Bagarello", "Hiroshi Inoue", "Camillo Trapani" ], "comment": "in press in Journal of Mathematical Physics", "categories": [ "math-ph", "math.MP", "quant-ph" ], "abstract": "Continuing the analysis undertaken in previous articles, we discuss some features of non-self-adjoint operators and sesquilinear forms which are defined starting from two biorthogonal families of vectors, like the so-called generalized Riesz systems, enjoying certain properties. In particular we discuss what happens when they forms two $\\D$-quasi bases.", "revisions": [ { "version": "v1", "updated": "2018-02-26T19:04:55.000Z" } ], "analyses": { "keywords": [ "sesquilinear forms", "biorthogonal vectors", "physical operators", "analysis undertaken", "non-self-adjoint operators" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }