{"id":5048,"date":"2015-05-29T14:50:44","date_gmt":"2015-05-29T09:50:44","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=5048"},"modified":"2015-06-01T12:55:56","modified_gmt":"2015-06-01T07:55:56","slug":"the-institute-seminar-on-method-of-constructing-a-basis-for-a-direct-sum-of-banach-spaces","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2015\/05\/29\/the-institute-seminar-on-method-of-constructing-a-basis-for-a-direct-sum-of-banach-spaces\/","title":{"rendered":"The Institute seminar on \u201cMethod of constructing a basis for a direct sum of Banach spaces\u201d"},"content":{"rendered":"<p style=\"text-align: justify;\">Weekly seminar on May 27, 2015, 10.00 a.m. \u00a0\u00a0featured\u00a0a report\u00a0 by dosent Telman Benser oglu Gasymov, a leading researcher \u00a0of the Department of\u00a0 Non-Harmonic Analysis, entitled\u00a0<strong>\u201c<\/strong><strong>Method of constructing a basis for a\u00a0<\/strong><strong>direct sum of<\/strong><strong>\u00a0Banach spaces<\/strong><strong>\u201d.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>\u00a0<\/strong>In report a direct expansion for a Banach space with respect to subspaces is considered. A method for constructing a basis for a space, proceeding from bases for subspaces, is presented. Cases when the bases for subspaces are isomorphic and the corresponding isomorphisms are not required are also considered. Completeness, minimality and uniform minimality of corresponding systems are studied.<\/p>\n<div class='entry-gallery'><div id=\"carousel-1\" class=\"single-carousel carousel slide carousel-5048\" data-ride=\"carousel\"><ol class='carousel-indicators'><li data-target=\"#carousel-1\" data-slide-to=\"0\" class=\"active\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"1\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"2\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"3\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"4\" class=\"\"><\/li><\/ol><div class='carousel-inner'><div class=\"carousel-item item active\"><a href='https:\/\/www.imm.az\/exp\/2015\/05\/27\/banax-f%c9%99zalarinin-duz-c%c9%99mind%c9%99-bazis-qurmagin-bir-usulu-haqqinda-movzusunda-umuminstitut-seminari-kecirildi\/foto1\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto1.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto1.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto1-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2015\/05\/27\/banax-f%c9%99zalarinin-duz-c%c9%99mind%c9%99-bazis-qurmagin-bir-usulu-haqqinda-movzusunda-umuminstitut-seminari-kecirildi\/foto2\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto2.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto2.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto2-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2015\/05\/27\/banax-f%c9%99zalarinin-duz-c%c9%99mind%c9%99-bazis-qurmagin-bir-usulu-haqqinda-movzusunda-umuminstitut-seminari-kecirildi\/foto4\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto4.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto4.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto4-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2015\/05\/27\/banax-f%c9%99zalarinin-duz-c%c9%99mind%c9%99-bazis-qurmagin-bir-usulu-haqqinda-movzusunda-umuminstitut-seminari-kecirildi\/foto5\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto5.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto5.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto5-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2015\/05\/27\/banax-f%c9%99zalarinin-duz-c%c9%99mind%c9%99-bazis-qurmagin-bir-usulu-haqqinda-movzusunda-umuminstitut-seminari-kecirildi\/foto6\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto6.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto6.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2015\/05\/Foto6-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><\/div>\n<a class=\"carousel-control-prev\" href=\"#carousel-1\" role=\"button\" data-slide=\"prev\">\n    <span class=\"carousel-control-prev-icon\" aria-hidden=\"true\"><\/span>\n    <span class=\"sr-only\">Previous<\/span>\n  <\/a>\n\n      <a class=\"carousel-control-next\" href=\"#carousel-1\" role=\"button\" data-slide=\"next\">\n    <span class=\"carousel-control-next-icon\" aria-hidden=\"true\"><\/span>\n    <span class=\"sr-only\">Next<\/span>\n  <\/a>\n    \n    <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Weekly seminar on May 27, 2015, 10.00 a.m. \u00a0\u00a0featured\u00a0a report\u00a0 by dosent Telman Benser oglu Gasymov, a leading researcher \u00a0of the Department of\u00a0 Non-Harmonic Analysis, entitled\u00a0\u201cMethod of constructing a basis for a\u00a0direct sum of\u00a0Banach spaces\u201d. \u00a0In report a direct expansion for a Banach space with respect to subspaces is considered. A method for constructing a [&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\/5048"}],"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=5048"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/5048\/revisions"}],"predecessor-version":[{"id":5049,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/5048\/revisions\/5049"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=5048"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=5048"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=5048"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}