{"id":10950,"date":"2019-04-12T14:47:39","date_gmt":"2019-04-12T11:47:39","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=10950"},"modified":"2019-04-16T16:31:00","modified_gmt":"2019-04-16T13:31:00","slug":"math-seminar-caratheodory-type-representations-aurelian-gheondea-sa-141-4pm-april-16-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-caratheodory-type-representations-aurelian-gheondea-sa-141-4pm-april-16-en\/","title":{"rendered":"MATH Seminar: &#8220;Caratheodory Type Representations,&#8221; Aurelian Gheondea, SA-141, 4PM April 16 (EN)"},"content":{"rendered":"<p>Departments of Mathematics <\/p>\n<p>Dear Colleagues and Students, <\/p>\n<p>You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<br \/>\nSpeaker: Aurelian Gheondea (Bilkent) <\/p>\n<p>&#8220;Caratheodory Type Representations&#8221; <\/p>\n<p><strong>Abstract:<\/strong> We show that any operator valued function that is holomorphic in a neigbourghood of the origin of the complex plane has a compressed resolvent representation in terms of a unitary operator in a Krein space. The proof is based on a construction involving the Caratheodory kernel associated to the function and the shift operator on a certain function space. We also show that this result implies the existence of unitary dilations for bounded operators in Krein spaces. <\/p>\n<p>Date: Tuesday, April 16, 2019<br \/>\nTime: 16:00<br \/>\nPlace: Mathematics Seminar Room, SA \u2013 141 <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Departments of Mathematics Dear Colleagues and Students, You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Aurelian Gheondea (Bilkent) &#8220;Caratheodory Type Representations&#8221; Abstract: We show that any operator valued function that is holomorphic in a neigbourghood of the origin of the complex plane has [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-caratheodory-type-representations-aurelian-gheondea-sa-141-4pm-april-16-en\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-10950","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/10950","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=10950"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/10950\/revisions"}],"predecessor-version":[{"id":10951,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/10950\/revisions\/10951"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=10950"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=10950"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=10950"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}