{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,20]],"date-time":"2025-06-20T20:40:03Z","timestamp":1750452003176,"version":"3.41.0"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2004,6,11]],"date-time":"2004-06-11T00:00:00Z","timestamp":1086912000000},"content-version":"unspecified","delay-in-days":71,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[2004,4]]},"abstract":"<jats:p>When considering the general Gauss\u2013Markov model <jats:italic>Y<\/jats:italic> = \n<jats:italic>X<\/jats:italic>\u03b2 + <jats:italic>e<\/jats:italic>, where <jats:italic>E<\/jats:italic>(<jats:italic>e<\/jats:italic>) = 0, \nCov(<jats:italic>e<\/jats:italic>) = <jats:italic>V<\/jats:italic>, one often needs to know whether the range \ninclusion range(<jats:italic>X<\/jats:italic>) \u2286 range(<jats:italic>V<\/jats:italic>) holds.<\/jats:p>","DOI":"10.1017\/s0266466604212087","type":"journal-article","created":{"date-parts":[[2008,4,21]],"date-time":"2008-04-21T11:38:33Z","timestamp":1208777913000},"page":"427-427","source":"Crossref","is-referenced-by-count":0,"title":["04.2.1. A Range Equality for Block Matrices with Orthogonal \nProjectors"],"prefix":"10.1017","volume":"20","author":[{"given":"Yongge","family":"Tian","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2004,6,11]]},"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466604212087","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,20]],"date-time":"2025-06-20T20:19:28Z","timestamp":1750450768000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466604212087\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,4]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2004,12]]}},"alternative-id":["S0266466604212087"],"URL":"https:\/\/doi.org\/10.1017\/s0266466604212087","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"type":"print","value":"0266-4666"},{"type":"electronic","value":"1469-4360"}],"subject":[],"published":{"date-parts":[[2004,4]]}}}