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Process."],"published-print":{"date-parts":[[2018,11]]},"abstract":"<jats:p> In this paper, we give some new characterizations of g-frames, g-Bessel sequences and g-Riesz bases from their topological properties. By using the Gram matrix associated with the g-Bessel sequence, we present a sufficient and necessary condition under which the sequence is a g-Bessel sequence (or g-Riesz basis). Finally, we consider the excess of a g-frame and obtain some new results. <\/jats:p>","DOI":"10.1142\/s0219691318500534","type":"journal-article","created":{"date-parts":[[2018,7,30]],"date-time":"2018-07-30T21:42:36Z","timestamp":1532986956000},"page":"1850053","source":"Crossref","is-referenced-by-count":2,"title":["New characterizations of g-frames and g-Riesz bases"],"prefix":"10.1142","volume":"16","author":[{"given":"Dongwei","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematics, HeFei University of Technology, No. 485, Danxia Road, 230009 Hefei, Anhui, P. R. 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