{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T12:27:55Z","timestamp":1775478475125,"version":"3.50.1"},"reference-count":24,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2015,8,1]],"date-time":"2015-08-01T00:00:00Z","timestamp":1438387200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2015,8]]},"DOI":"10.1109\/tit.2015.2441071","type":"journal-article","created":{"date-parts":[[2015,6,3]],"date-time":"2015-06-03T19:45:28Z","timestamp":1433360728000},"page":"4410-4423","source":"Crossref","is-referenced-by-count":14,"title":["Measures of Scalability"],"prefix":"10.1109","volume":"61","author":[{"given":"Xuemei","family":"Chen","sequence":"first","affiliation":[]},{"given":"Gitta","family":"Kutyniok","sequence":"additional","affiliation":[]},{"given":"Kasso A.","family":"Okoudjou","sequence":"additional","affiliation":[]},{"given":"Friedrich","family":"Philipp","sequence":"additional","affiliation":[]},{"given":"Rongrong","family":"Wang","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref10","first-page":"149","article-title":"Existence and construction of finite frames with a given frame operator","volume":"63","author":"casazza","year":"2010","journal-title":"Int J Pure Appl Math"},{"key":"ref11","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-8176-8224-8_6","article-title":"An introduction to frames and Riesz bases","author":"christensen","year":"2003","journal-title":"Applied and Numerical Harmonic Analysis"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.7153\/oam-08-02"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2005.02.005"},{"key":"ref14","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-68407-9","volume":"258","author":"g\u00fcler","year":"2010","journal-title":"Foundations of Optimization"},{"key":"ref15","first-page":"187","author":"john","year":"1948","journal-title":"Extremum Problems With Inequalities as Subsidiary Conditions"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1287\/moor.21.2.307"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-005-2653-6"},{"key":"ref18","article-title":"Scalable frames and convex geometry","volume":"626","author":"kutyniok","year":"2013","journal-title":"Contemporary Mathematics"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2012.10.046"},{"key":"ref4","first-page":"93","article-title":"A note on scalable frames","author":"cahill","year":"2013","journal-title":"Proc Int Conf Sampling Theory Appl"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1214\/09-AOP489"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2010.10.002"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2012.08.001"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021349819855"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2011.02.005"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021323312367"},{"key":"ref1","first-page":"1","article-title":"An elementary introduction to modern convex geometry","volume":"31","author":"ball","year":"1997","journal-title":"Flavors of Geometry"},{"key":"ref9","author":"casazza","year":"2012","journal-title":"Finite Frames Theory and Applications"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2012.03.006"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2009.2036477"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/0-387-31077-0"},{"key":"ref24","volume":"38","author":"tomczak-jaegermann","year":"1989","journal-title":"Banach–Mazur Distances and Finite-Dimensional Operator Ideals"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2011.09.001"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/7154389\/07117415.pdf?arnumber=7117415","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:46:46Z","timestamp":1642006006000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7117415\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8]]},"references-count":24,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tit.2015.2441071","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,8]]}}}