{"id":479,"date":"2016-04-06T20:56:27","date_gmt":"2016-04-06T17:56:27","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=479"},"modified":"2016-04-13T19:34:53","modified_gmt":"2016-04-13T16:34:53","slug":"colloquium-tuesday-april-12-2-pm-speaker-orr-shalit-technion-title-dilation-of-matrices-and-applications","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=479","title":{"rendered":"Colloquium: Tuesday, April 12, 2 pm. Speaker: Orr Shalit (Technion) . Title: &#8220;Dilation of matrices and applications&#8221;."},"content":{"rendered":"<p>Given two matrices of different sizes, A of size m x m and B of size n x n (with m&lt;n), we say that B is <strong>a dilation<\/strong> of A, if A is the upper left m x m corner of B (a similar definition holds for families of matrices or operators). Could such a simple notion be of any use? It turns out that dilations are a very useful tool in matrix theory and operator theory.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given two matrices of different sizes, A of size m x m and B of size n x n (with m&lt;n), we say that B is a dilation of A, if A is the upper left m x m corner&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=479\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-479","post","type-post","status-publish","format-standard","hentry","category-colloquium"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/479","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=479"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/479\/revisions"}],"predecessor-version":[{"id":480,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/479\/revisions\/480"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=479"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=479"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=479"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}