{"id":25936,"date":"2025-11-16T18:35:09","date_gmt":"2025-11-16T15:35:09","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=25936"},"modified":"2025-11-19T21:25:15","modified_gmt":"2025-11-19T18:25:15","slug":"math-seminar-a-functional-model-for-locally-normal-operators-aurelian-gheondea-200pm-november-19-2025-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-a-functional-model-for-locally-normal-operators-aurelian-gheondea-200pm-november-19-2025-en\/","title":{"rendered":"MATH Seminar: A Functional Model for Locally Normal Operators\u201d, Aurelian Gheondea, 2:00PM November 19 2025 (EN)"},"content":{"rendered":"<p>You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n<p>Speaker: Aurelian Gheondea (Institute of Mathematics of the Romanian Academy and Emeritus of Bilkent University)<\/p>\n<p>\u201cA Functional Model for Locally Normal Operators\u201d<\/p>\n<p>Abstract: We first make a survey on the three spectral theorems for normal operators on Hilbert spaces.<br \/>\nThen, we present a functional model for locally normal operators on representing locally Hilbert spaces combined with a spectral multiplicity model on a pseudo-concrete functional model for the underlying locally Hilbert space, under the technical condition on the directed set to be sequentially finite.<br \/>\nAs a consequence of the main result we sketch the direct integral representation of locally normal operators under the same technical assumptions and the separability of the locally Hilbert space.<\/p>\n<p>Date: Wednesday, November 19, 2025<br \/>\nTime: 14:00-15:00,<br \/>\nPlace: SA-141<\/p>\n","protected":false},"excerpt":{"rendered":"<p>You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Aurelian Gheondea (Institute of Mathematics of the Romanian Academy and Emeritus of Bilkent University) \u201cA Functional Model for Locally Normal Operators\u201d Abstract: We first make a survey on the three spectral theorems for normal operators [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-a-functional-model-for-locally-normal-operators-aurelian-gheondea-200pm-november-19-2025-en\/\" rel=\"nofollow\">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":[12],"tags":[],"class_list":["post-25936","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/25936","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\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=25936"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/25936\/revisions"}],"predecessor-version":[{"id":25937,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/25936\/revisions\/25937"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=25936"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=25936"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=25936"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}