{"id":501,"date":"2017-11-07T04:33:02","date_gmt":"2017-11-07T04:33:02","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=501"},"modified":"2024-12-19T04:28:09","modified_gmt":"2024-12-19T04:28:09","slug":"functional-analysis","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/functional-analysis\/","title":{"rendered":"Functional Analysis"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p style=\"text-align: justify;\"><strong>Course: <\/strong><strong>MAT 476 3.0 Functional Analysis <\/strong><strong>(<u>Compulsory<\/u>)<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Course content<\/strong>:<\/p>\n<p style=\"text-align: justify;\">Preliminaries, Normed spaces, Finite and infinite dimensional normed spaces, Equivalence of norms, l^p and function spaces, Convergence and Completeness, Riesz Lemma, Compactness in normed spaces, Banach Spaces, Bounded linear operators, Open mapping theorem and related results, Dual Spaces, Hahn Banach Theorem, Hilbert spaces, Operators on Hilbert spaces.<\/p>\n<p style=\"text-align: justify;\"><strong>Recommended Readings:<\/strong><\/p>\n<ol>\n<li>Rynne, B. &amp; Youngson, M. A.,<em> Linear Functional Analysis<\/em>, 2<sup>nd<\/sup> Springer (Undergraduate Mathematics Series), 2007<\/li>\n<li>Pedersen, G. K., <em>Analysis Now<\/em>, Springer (Graduate Texts in Mathematics), 2001<\/li>\n<li>Bollobas, B.,<em> Linear Analysis (An Introductory Course)<\/em>; 2<sup>nd<\/sup> Cambridge University Press, 1999<\/li>\n<li>Kreyszig, E., <em>Introductory Functional Analysis with Applications<\/em> 1<sup>st<\/sup>, Wiley, 1989<\/li>\n<li>Schechter, <em>, Principles of Functional Analysis<\/em> 2<sup>nd<\/sup> ed., American Mathematical Society (Graduate Studies in Mathematics), 2001<\/li>\n<\/ol>\n<p>[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/section>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text] Course: MAT 476 3.0 Functional Analysis (Compulsory) Course content: Preliminaries, Normed spaces, Finite and infinite dimensional normed spaces, Equivalence of norms, l^p and function spaces, Convergence and Completeness, Riesz Lemma, Compactness in normed spaces, Banach Spaces, Bounded linear operators, Open mapping theorem and related results, Dual Spaces, Hahn Banach Theorem, Hilbert spaces, Operators on &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/functional-analysis\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Functional Analysis<\/span><\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/501"}],"collection":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/comments?post=501"}],"version-history":[{"count":3,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/501\/revisions"}],"predecessor-version":[{"id":4723,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/501\/revisions\/4723"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=501"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}