{"id":15673,"date":"2019-04-12T15:00:15","date_gmt":"2019-04-12T12:00:15","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/tr\/?p=15673"},"modified":"2019-04-16T16:45:54","modified_gmt":"2019-04-16T13:45:54","slug":"math-semineri-caratheodory-type-representations-aurelian-gheondea-sa-141-1600-16-nisan-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/tr\/math-semineri-caratheodory-type-representations-aurelian-gheondea-sa-141-1600-16-nisan-en\/","title":{"rendered":"MATH Semineri: \u201cCaratheodory Type Representations,\u201d Aurelian Gheondea, SA-141, 16:00 16 Nisan (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>\u201cCaratheodory Type Representations\u201d<\/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) \u201cCaratheodory Type Representations\u201d 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\/tr\/math-semineri-caratheodory-type-representations-aurelian-gheondea-sa-141-1600-16-nisan-en\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[],"class_list":["post-15673","post","type-post","status-publish","format-standard","hentry","category-eskipostlar"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts\/15673","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/comments?post=15673"}],"version-history":[{"count":2,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts\/15673\/revisions"}],"predecessor-version":[{"id":15675,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts\/15673\/revisions\/15675"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/media?parent=15673"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/categories?post=15673"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/tags?post=15673"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}