{"id":18403,"date":"2018-04-19T10:35:32","date_gmt":"2018-04-19T06:35:32","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=18403"},"modified":"2018-04-19T10:56:16","modified_gmt":"2018-04-19T06:56:16","slug":"seminar-on-besselian-and-hilbertian-systems-in-banach-spaces","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2018\/04\/19\/seminar-on-besselian-and-hilbertian-systems-in-banach-spaces\/","title":{"rendered":"Seminar on Besselian and Hilbertian systems in Banach spaces"},"content":{"rendered":"<p style=\"text-align: justify;\">Department of Non-Harmonic Analysis held its weekly seminar today. Senior researcher, associate professor M.Ismailov made a report entitled \u201cOn Besselian and Hilbertian systems in Banach spaces.\u201d<\/p>\n<p style=\"text-align: justify;\">Banach space of scalar sequences has been considered, for which the canonical system of unit vectors forms a basis. The concepts of minimal Besselian and Hilbertian systems are extended to this space. Existence criteria are found for these generalized systems and the relationship between them is studied. It is shown that every Hilbert system is minimal. The examples of Besselian systems which are not minimal are given.<\/p>\n<div class='entry-gallery'><div id=\"carousel-1\" class=\"single-carousel carousel slide carousel-18403\" 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><\/ol><div class='carousel-inner'><div class=\"carousel-item item active\"><a href='https:\/\/www.imm.az\/exp\/2018\/04\/19\/banax-f%c9%99zalarinda-bessel-v%c9%99-hilbert-sisteml%c9%99ri-haqqinda-movzusunda-seminar-kecirilib\/fullsizerender-18-04-18-18\/'><img loading=\"lazy\" decoding=\"async\" width=\"467\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/04\/FullSizeRender-18-04-18-18-.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/04\/FullSizeRender-18-04-18-18-.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/04\/FullSizeRender-18-04-18-18--300x225.jpg 300w\" sizes=\"(max-width: 467px) 100vw, 467px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2018\/04\/19\/banax-f%c9%99zalarinda-bessel-v%c9%99-hilbert-sisteml%c9%99ri-haqqinda-movzusunda-seminar-kecirilib\/img_7958-18-04-18-18-52-1\/'><img loading=\"lazy\" decoding=\"async\" width=\"363\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/04\/IMG_7958-18-04-18-18-52-1.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/04\/IMG_7958-18-04-18-18-52-1.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/04\/IMG_7958-18-04-18-18-52-1-300x289.jpg 300w\" sizes=\"(max-width: 363px) 100vw, 363px\" \/><\/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<p>\u00a9All rights are reserved. Citing to www.imm.az is necessary upon using news.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Department of Non-Harmonic Analysis held its weekly seminar today. Senior researcher, associate professor M.Ismailov made a report entitled \u201cOn Besselian and Hilbertian systems in Banach spaces.\u201d Banach space of scalar sequences has been considered, for which the canonical system of unit vectors forms a basis. The concepts of minimal Besselian and Hilbertian systems are extended [&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\/18403"}],"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=18403"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/18403\/revisions"}],"predecessor-version":[{"id":18404,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/18403\/revisions\/18404"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=18403"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=18403"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=18403"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}