{"id":2606,"date":"2023-06-06T15:22:23","date_gmt":"2023-06-06T12:22:23","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2606"},"modified":"2023-11-21T14:45:49","modified_gmt":"2023-11-21T12:45:49","slug":"colloquium-tuesday-june-13-2023-speaker-gideon-schechtman-weizmann-title-the-number-of-closed-ideals-in-the-algebra-of-bounded-operators-on-lebesgue-spaces","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2606","title":{"rendered":"Colloquium: Tuesday June 13, 2023. Speaker: Gideon Schechtman (Weizmann). Title: &#8220;The number of closed ideals in the algebra of bounded operators on Lebesgue spaces&#8221;."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Our next Math&nbsp;colloquium&nbsp;this term&nbsp;will be&nbsp;<strong>in person<\/strong>&nbsp;on Tuesday the 13th of June, in room 614, Science &amp; Education building.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A zoom link for our meetings is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/us02web.zoom.us\/j\/83337601824\">https:\/\/us02web.zoom.us\/j\/83337601824<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Speaker :&nbsp;<strong>Gideon Schechtman (Weizmann)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Date :&nbsp;<strong>Tuesday, 13th of June, 2023.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Time :&nbsp;<strong>14:00<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Title:<\/strong>&nbsp;The number of closed ideals in the algebra of bounded operators on<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Lebesgue spaces.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Abstract:&nbsp;<\/strong>I intend to review what is known about the closed ideals in the Banach algebras <img loading=\"lazy\" decoding=\"async\" width=\"75\" height=\"17\" alt=\"L(L_p(0,1))\" src=\"\"> of bounded linear operators on <img loading=\"lazy\" decoding=\"async\" width=\"51\" height=\"17\" alt=\"L_p(0,1)\" src=\"\">. Then concentrate on two results: The first with Bill Johnson and Gilles Pisier is the existence of a continuum of closed ideals in <img loading=\"lazy\" decoding=\"async\" width=\"39\" height=\"16\" alt=\"L(L_1)\" src=\"\">. The second, with Bill Johnson, shows that for <img loading=\"lazy\" decoding=\"async\" width=\"104\" height=\"15\" alt=\"1<p\\not= 2<\\infty\" src=\"\"> there are exactly <img loading=\"lazy\" decoding=\"async\" width=\"24\" height=\"15\" alt=\"2^{2^{\\aleph_0}}\" src=\"\"> different closed ideals in <img loading=\"lazy\" decoding=\"async\" width=\"75\" height=\"17\" alt=\"L(L_p(0,1))\" src=\"\">.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Our next Math&nbsp;colloquium&nbsp;this term&nbsp;will be&nbsp;in person&nbsp;on Tuesday the 13th of June, in room 614, Science &amp; Education building. A zoom link for our meetings is: https:\/\/us02web.zoom.us\/j\/83337601824 Speaker :&nbsp;Gideon Schechtman (Weizmann) Date :&nbsp;Tuesday, 13th of June, 2023. Time :&nbsp;14:00 Title:&nbsp;The number&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2606\">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-2606","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\/2606","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=2606"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2606\/revisions"}],"predecessor-version":[{"id":2607,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2606\/revisions\/2607"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2606"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2606"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2606"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}