{"id":23767,"date":"2025-01-29T19:06:18","date_gmt":"2025-01-29T16:06:18","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=23767"},"modified":"2025-02-11T09:14:23","modified_gmt":"2025-02-11T06:14:23","slug":"math-seminar-convergence-symmetric-metric-spaces-and-weak-banach-space-ismail-saglam-340pm-february-10-2025-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-convergence-symmetric-metric-spaces-and-weak-banach-space-ismail-saglam-340pm-february-10-2025-en\/","title":{"rendered":"MATH Seminar: \u201cConvergence-symmetric metric spaces and weak Banach space\u201d, \u0130smail Sa\u011flam, 3:40PM February 10 2025 (EN)"},"content":{"rendered":"<p>You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n<p>Speaker: \u0130smail Sa\u011flam (Adana Science and Technology University)<\/p>\n<p>\u201cConvergence-symmetric metric spaces and weak Banach spaces\u201d<\/p>\n<p>Abstract: A convergence symmetric metric space is a possibly asymmetric metric space $(X,d)$ with the property that $d(p_n,q_n)\\to 0$ as $n \\to \\infty$ implies that $d(q_n,p_n)\\to 0$, where $(p_n)$ and $(q_n)$ are sequences in $X$. Basic properties of these metrics spaces will be explained. A (real) weak Banach space is a real vector space $V$ together with a weak norm such that the induced metric is complete. We will see the classical Uniform Boundedness Principle, Open Mapping Theorem, Closed Graph Theorem and Hahn-Banach Theorem can be generalized in this setting.<\/p>\n<p>Date: Monday, February 10, 2025<br \/>\nTime: 15:40-16:40<br \/>\nPlace: Mathematics Seminar Room SA \u2013 14129<\/p>\n","protected":false},"excerpt":{"rendered":"<p>You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: \u0130smail Sa\u011flam (Adana Science and Technology University) \u201cConvergence-symmetric metric spaces and weak Banach spaces\u201d Abstract: A convergence symmetric metric space is a possibly asymmetric metric space $(X,d)$ with the property that $d(p_n,q_n)\\to 0$ as $n [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-convergence-symmetric-metric-spaces-and-weak-banach-space-ismail-saglam-340pm-february-10-2025-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-23767","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/23767","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=23767"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/23767\/revisions"}],"predecessor-version":[{"id":23768,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/23767\/revisions\/23768"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=23767"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=23767"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=23767"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}