{ "id": "1805.02093", "version": "v1", "published": "2018-05-05T18:08:52.000Z", "updated": "2018-05-05T18:08:52.000Z", "title": "On (h;k) dichotomy of linear discrete-time systems in Banach spaces", "authors": [ "Violeta Crai", "Mirela Aldescu" ], "comment": "14 pages, presented at ICDEA conference", "categories": [ "math.DS" ], "abstract": "The paper considers a general concept of dichotomy with different growth rates for linear discrete-time systems in Banach spaces. Characterizations in terms of Lyapunov type sequences of norms are given. The approach is illustrated by various examples.", "revisions": [ { "version": "v1", "updated": "2018-05-05T18:08:52.000Z" } ], "analyses": { "subjects": [ "34D09", "93C55" ], "keywords": [ "linear discrete-time systems", "banach spaces", "lyapunov type sequences", "general concept", "growth rates" ], "tags": [ "conference paper" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }