{"id":167,"date":"2013-08-15T21:09:56","date_gmt":"2013-08-16T01:09:56","guid":{"rendered":"http:\/\/math.cos.ucf.edu\/~zheliu\/?page_id=167"},"modified":"2017-10-04T11:19:46","modified_gmt":"2017-10-04T15:19:46","slug":"papers","status":"publish","type":"page","link":"https:\/\/sciences.ucf.edu\/math\/zheliu\/research\/papers\/","title":{"rendered":"Papers"},"content":{"rendered":"<p><span style=\"font-size: small\">(all peer reviewed)<\/span><\/p>\n<ul>\n<li><b><span style=\"color: blue\">A Beurling Theorem for Generalized Hardy Spaces on a Multiply Connected Domain<\/span><\/b><br \/>\n(with Yanni Chen, Don Hadwin and Eric Nordgren)<br \/>\nCanadian Journal of Mathematics, https:\/\/cms.math.ca\/10.4153\/CJM-2017-007-8.<\/li>\n<li><b><span style=\"color: blue\">Reflexivity of Murray &#8211; von Neumann Algebras<\/span><\/b><br \/>\n<a href=\"http:\/\/www.ams.org\/books\/conm\/671\">link<\/a><br \/>\nOperator Algebras and Their Applications, Contemporary Mathematics, vol. 671, Amer. Math. Soc., Providence, RI, 2016, 175-184.<\/li>\n<li><b><span style=\"color: blue\">Derivations of Murray &#8211; von Neumann Algebras<\/span><\/b><br \/>\n(with Richard Kadison)<br \/>\n<a href=\"http:\/\/www.mscand.dk\/article\/view\/19223\">link<\/a><br \/>\nMath. Scand. <b>115<\/b> (2014), no. 2, 206-228.<\/li>\n<li><b><span style=\"color: blue\">A Note on Derivations of Murray &#8211; von Neumann Algebras<\/span><\/b><br \/>\n(with Richard Kadison)<br \/>\n<a href=\"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-content\/uploads\/sites\/18\/2013\/08\/PNAS-2014-KadisonLiu.pdf\">PDF<\/a><br \/>\nProc. Nat. Acad. Sci. U.S.A. <b>111<\/b> (2014), 2087-2093.<\/li>\n<li><b><span style=\"color: blue\">The Heisenberg Relation &#8211; Mathematical Formulations <\/span><\/b><br \/>\n(with Richard Kadison)<br \/>\n<a href=\"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-content\/uploads\/sites\/18\/2013\/08\/SIGMA-KadisonLiu.pdf\">PDF<\/a><br \/>\nSIGMA (Symmetry, Integrability and Geometry : Methods and Applications), <b>10<\/b> (2014), 009, 40 pages.<\/li>\n<li><b><span style=\"color: blue\">Closed Densely Defined Operators Commuting with Multiplications in a Multiplier Pair<\/span><\/b><br \/>\n(with Don Hadwin and Eric Nordgren)<br \/>\n<a href=\"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-content\/uploads\/sites\/18\/2013\/08\/HLN.pdf\">PDF<\/a><br \/>\nProc. Amer. Math. Soc. <b> 141 <\/b> (2013), 3093-3105.<\/li>\n<li><b><span style=\"color: blue\">A Double Commutant Theorem for Murray &#8211; von Neumann Algebras<\/span><\/b><br \/>\n<a href=\"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-content\/uploads\/sites\/18\/2013\/08\/Doublecommutant.pdf\">PDF<\/a><br \/>\nProc. Nat. Acad. Sci. U.S.A. <b> 109 <\/b> (2012), 7676-7681.<\/li>\n<li><b><span style=\"color: blue\">On some mathematical aspects of the\u00a0Heisenberg relation\u00a0<\/span><\/b><br \/>\n<a href=\"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-content\/uploads\/sites\/18\/2013\/08\/zheSciChina.pdf\">PDF<\/a><br \/>\nSci. China Math, <b> 54 <\/b> (2011), 2427-2452.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>(all peer reviewed) A Beurling Theorem for Generalized Hardy Spaces on a Multiply Connected Domain (with Yanni Chen, Don Hadwin and Eric Nordgren) Canadian Journal of Mathematics, https:\/\/cms.math.ca\/10.4153\/CJM-2017-007-8. Reflexivity of Murray &#8211; von Neumann Algebras link Operator Algebras and Their Applications, Contemporary Mathematics, vol. 671, Amer. Math. Soc., Providence, RI, 2016, 175-184. Derivations of Murray &hellip; <a href=\"https:\/\/sciences.ucf.edu\/math\/zheliu\/research\/papers\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Papers<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":18,"featured_media":0,"parent":15,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-167","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/pages\/167","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/users\/18"}],"replies":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/comments?post=167"}],"version-history":[{"count":0,"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/pages\/167\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/pages\/15"}],"wp:attachment":[{"href":"https:\/\/sciences.ucf.edu\/math\/zheliu\/wp-json\/wp\/v2\/media?parent=167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}