{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,18]],"date-time":"2026-08-18T01:40:47Z","timestamp":1787017247194,"version":"3.56.0"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2008,5]]},"abstract":"<jats:p>The notion of frame has some generalizations such as frames of subspaces, fusion frames and g-frames. In this paper, we introduce fusion frames and g-frames in Hilbert C*-modules and we show that they share many useful properties with their corresponding notions in Hilbert space. We also generalize a perturbation result in frame theory to g-frames in Hilbert spaces. We also show that tensor product of fusion frames (g-frames) is a fusion frame (g-frame) and tensor product of resolution of identity is a resolution of identity.<\/jats:p>","DOI":"10.1142\/s0219691308002458","type":"journal-article","created":{"date-parts":[[2008,4,29]],"date-time":"2008-04-29T06:36:48Z","timestamp":1209451008000},"page":"433-446","source":"Crossref","is-referenced-by-count":34,"title":["FUSION FRAMES AND g-FRAMES IN HILBERT C*-MODULES"],"prefix":"10.1142","volume":"06","author":[{"given":"AMIR","family":"KHOSRAVI","sequence":"first","affiliation":[{"name":"Faculty of Mathematical Sciences and Computer Engineering, University for Teacher Education, 599 Taleghani Ave., Tehran 15618, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"BEHROOZ","family":"KHOSRAVI","sequence":"additional","affiliation":[{"name":"Department of Pure Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., Tehran 15914, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.11.036"},{"key":"rf3","author":"Casazza P. G.","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2003.12.003"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1952-0047179-6"},{"key":"rf6","first-page":"273","volume":"48","author":"Frank M.","journal-title":"J. Operator Theory"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/s12044-007-0001-5"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511526206"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-004-3039-0"},{"key":"rf10","volume-title":"C*-Algebra and Operator Theory","author":"Murphy G. J.","year":"1990"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-99-05219-3"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.09.039"},{"key":"rf13","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198596943.001.0001","volume-title":"K-Theory and C*-Algebras, A Friendly Approach","author":"Wegge-Olsen N. E.","year":"1993"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691308002458","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,25]],"date-time":"2024-02-25T10:01:21Z","timestamp":1708855281000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691308002458"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,5]]},"references-count":12,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2008,5]]}},"alternative-id":["10.1142\/S0219691308002458"],"URL":"https:\/\/doi.org\/10.1142\/s0219691308002458","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,5]]}}}