{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:11:31Z","timestamp":1772284291991,"version":"3.50.1"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur."],"published-print":{"date-parts":[[2016,3,22]]},"abstract":"<jats:p>\n                    For a general one-sided nonautonomous dynamics defined by a sequence of linear operators, we consider the notion of an exponential dichotomy with respect to a sequence of norms and we characterize it completely in terms of the admissibility of bounded solutions. As a nontrivial application, we establish the robustness of the notion under sufficiently small parameterized perturbations. Moreover, we show that if the perturbations are Lipschitz or of class\n                    <jats:inline-formula>\n                      <jats:tex-math>C^1<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    on the parameter, then the same happens to the projections onto the stable spaces of the perturbation.\n                  <\/jats:p>","DOI":"10.4171\/rlm\/732","type":"journal-article","created":{"date-parts":[[2016,3,22]],"date-time":"2016-03-22T18:45:08Z","timestamp":1458672308000},"page":"235-247","source":"Crossref","is-referenced-by-count":4,"title":["Nonuniform hyperbolicity and one-sided admissibility"],"prefix":"10.4171","volume":"27","author":[{"given":"Luis","family":"Barreira","sequence":"first","affiliation":[{"name":"Instituto Superior T\u00e9cnico, Lisboa, Portugal"}]},{"given":"Davor","family":"Dragi\u010devi\u0107","sequence":"additional","affiliation":[{"name":"University of New South Wales, Sydney, Australia"}]},{"given":"Claudia","family":"Valls","sequence":"additional","affiliation":[{"name":"Instituto Superior T\u00e9cnico, Lisboa, Portugal"}]}],"member":"2673","container-title":["Rendiconti Lincei, Matematica e Applicazioni"],"original-title":[],"link":[{"URL":"http:\/\/www.ems-ph.org\/fulltext\/10.4171\/RLM\/732","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T13:14:11Z","timestamp":1762262051000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/rlm\/732"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,3,22]]},"references-count":0,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.4171\/rlm\/732","relation":{},"ISSN":["1120-6330","1720-0768"],"issn-type":[{"value":"1120-6330","type":"print"},{"value":"1720-0768","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,3,22]]}}}