{"id":12233,"date":"2017-04-24T15:39:16","date_gmt":"2017-04-24T11:39:16","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=12233"},"modified":"2017-04-25T22:39:29","modified_gmt":"2017-04-25T18:39:29","slug":"attention-118","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2017\/04\/24\/attention-118\/","title":{"rendered":"ATTENTION"},"content":{"rendered":"<p style=\"text-align: justify;\">Weekly seminar on 26 th of April 2017, 10:00 a.m. will feature a report by\u00a0 head of the Department of the \u201cNon-harmonic Analysis\u201d of the Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan, Corresponding Member of ANAS,\u00a0 Professor Bilal Bilalov \u00a0entitled by \u201cSome problems of atomic dec omposition and frames. t-frames.\u00a0 The concept of\u00a0 uncountable frames\u00a0 in non-separable hilbert spaces\u201d.<\/p>\n<p style=\"text-align: justify;\">In report\u00a0 the\u00a0 frames in Hilbert and Banach spaces are considered and under a Noetherian mapping their properties are studied. An\u00a0 atomic decompositions in Banach spaces is also considered. The concept of <em>K<\/em><strong>&#8211;<\/strong>closeness is introduced. The stability of the frame properties and atomic decompositions\u00a0 with respect to\u00a0 <em>K<\/em><strong>&#8211;<\/strong>closeness \u00a0are proved. The concept of a t-frame associated with a Hilbert tensor product is introduced. \u00a0All the properties of ordinary frames are transferred \u00a0to this case. The Noetherian perturbation of\u00a0 t-frames is considered. The stability of the t-frameness with respect to quadratic closeness \u00a0is proved. The concepts of Bessel\u00a0 systems \u00a0and frames in non-separable Hilbert spaces are introduced. Many results related to usual frames are extended to new case.<\/p>\n<p style=\"text-align: justify;\">\u00a9All rights are reserved. Citing to www.imm.az is necessary upon using news.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Weekly seminar on 26 th of April 2017, 10:00 a.m. will feature a report by\u00a0 head of the Department of the \u201cNon-harmonic Analysis\u201d of the Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan, Corresponding Member of ANAS,\u00a0 Professor Bilal Bilalov \u00a0entitled by \u201cSome problems of atomic dec omposition and frames. [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[85,88],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/12233"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=12233"}],"version-history":[{"count":3,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/12233\/revisions"}],"predecessor-version":[{"id":12277,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/12233\/revisions\/12277"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=12233"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=12233"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=12233"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}