{"id":17,"date":"2021-11-05T09:25:13","date_gmt":"2021-11-05T08:25:13","guid":{"rendered":"https:\/\/web.umons.ac.be\/afon\/research-activities\/"},"modified":"2026-02-04T13:56:36","modified_gmt":"2026-02-04T12:56:36","slug":"research-activities","status":"publish","type":"page","link":"https:\/\/web.umons.ac.be\/afon\/en\/research-activities\/","title":{"rendered":"Research activities"},"content":{"rendered":"<p>Our research activities focus on linear dynamics and the study of invariant subspaces.<\/p>\n<ul>\n<li style=\"font-weight: 400;\">Linear dynamics is the theory of studying the properties of\u00a0\u00a0orbits of linear and continuous operators on Banach spaces or Fr\u00e9chet spaces. Persons who are interested in this theory could appreciate the books <a href=\"http:\/\/www.springer.com\/la\/book\/9781447121695\" target=\"_blank\" rel=\"noopener\">Linear Chaos<\/a>\u00a0and\u00a0<a href=\"http:\/\/www.cambridge.org\/be\/academic\/subjects\/mathematics\/abstract-analysis\/dynamics-linear-operators?format=HB&amp;isbn=9780521514965\" target=\"_blank\" rel=\"noopener\">Dynamics of Linear Operators<\/a>.<\/li>\n<li style=\"font-weight: 400;\">The study of invariant subspaces consists in determining which operators T do not possess closed subspaces M (different to {0} and the whole space) so that T(M) is included in M and which spaces support such operators.<\/li>\n<\/ul>\n<hr \/>\n<p>Our unit is also associated with the following UMONS research institutes :<\/p>\n<start-cask-shortcode-wrapper>\t\t<div class=\"associated-institutes content-block scheme-fs\">\n\t\t\t<ul class=\"institutes-list\">\n\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t\t\t<a href=\"https:\/\/web.umons.ac.be\/complexys\" title=\"Acc\u00e9der au site web de : Institut \/ Complexys\" class=\"associated-institute\">\n\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"1\" height=\"1\" src=\"https:\/\/web.umons.ac.be\/app\/uploads\/sites\/31\/2017\/11\/complexys_logo_fr.svg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/>\t\t\t\t\t\t\t<\/a>\t\t\t\n\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t<\/ul>\n\t\t<\/div>\n <end-cask-shortcode-wrapper>\n","protected":false},"excerpt":{"rendered":"<p>Our research activities focus on linear dynamics and the study of invariant subspaces. Linear dynamics is the theory of studying the properties of\u00a0\u00a0orbits of linear and continuous operators on Banach spaces or Fr\u00e9chet spaces. Persons who are interested in this theory could appreciate the books Linear Chaos\u00a0and\u00a0Dynamics of Linear Operators. The study of invariant subspaces [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-17","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Research activities - Service \/ FS - Analyse fonctionnelle<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/web.umons.ac.be\/afon\/en\/research-activities\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Research activities - Service \/ FS - Analyse fonctionnelle\" \/>\n<meta property=\"og:description\" content=\"Our research activities focus on linear dynamics and the study of invariant subspaces. Linear dynamics is the theory of studying the properties of\u00a0\u00a0orbits of linear and continuous operators on Banach spaces or Fr\u00e9chet spaces. Persons who are interested in this theory could appreciate the books Linear Chaos\u00a0and\u00a0Dynamics of Linear Operators. 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