{"id":5201,"date":"2013-01-30T13:05:07","date_gmt":"2013-01-30T10:05:07","guid":{"rendered":"https:\/\/editura-unibuc.ro\/?p=5201"},"modified":"2015-03-13T15:37:56","modified_gmt":"2015-03-13T13:37:56","slug":"o-introducere-in-teoria-seriilor-cu-elemente-din-spatii-normate-reale","status":"publish","type":"product","link":"https:\/\/editura-unibuc.ro\/en\/o-introducere-in-teoria-seriilor-cu-elemente-din-spatii-normate-reale\/","title":{"rendered":"INTRODUCTION TO SERIES THEORY WITH REAL NORMED SPACES ELEMENTS"},"content":{"rendered":"<p>Prezenta lucrare are drept subiect prezentarea a dou\u0103 rezultate privind seriile cu elemente dintr-un spa\u021biu Banach, anume teorema lui Dvoretsky-Rogers \u0219i teorema lui L\u00e9vi-Steinitz. Teorema L\u00e9vi-Steinitz afirm\u0103 c\u0103 mul\u021bimea sumelor rearanj\u0103rilor unei serii av\u00e2nd drept elemente vectori dintr-un spa\u021biu vectorial normat finit dimensional este fie vid\u0103, fie se prezint\u0103 sub forma translatatului unui subspa\u021biu. Acest fapt a fost demonstrat de c\u0103tre P. L\u00e9vi \u00een 1905 pentru cazul 2 dimensional, pentru ca \u00een 1913 E. Steinitz s\u0103 demonstreze rezultatul pentru cazul general. Lucrarea are patru capitole: Considera\u021bii generale privind seriile de elemente din spa\u021bii Banach, Teorema Dvoretsky-Rogers (demonstra\u021bia original\u0103), Teorema L\u00e9vi-Steinitz \u0219i generaliz\u0103rile sale \u0219i Abordarea teoremei Dvoretsky-Rogers pe baza ideilor lui A. Grothendieck.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Prezenta lucrare are drept subiect prezentarea a dou\u0103 rezultate privind seriile cu elemente dintr-un spa\u021biu Banach, anume teorema lui Dvoretsky-Rogers \u0219i teorema lui L\u00e9vi-Steinitz. Teorema L\u00e9vi-Steinitz afirm\u0103 c\u0103 mul\u021bimea sumelor rearanj\u0103rilor unei serii av\u00e2nd drept elemente vectori dintr-un spa\u021biu vectorial normat finit dimensional este fie vid\u0103, fie se prezint\u0103 sub forma translatatului unui subspa\u021biu. Acest [&hellip;]<\/p>\n","protected":false},"featured_media":8899,"comment_status":"open","ping_status":"closed","template":"","meta":[],"product_brand":[],"product_cat":[982,986],"product_tag":[898],"class_list":{"0":"post-5201","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-stiinte-exacte","7":"product_cat-matematica","8":"product_tag-matematica","10":"first","11":"instock","12":"shipping-taxable","13":"purchasable","14":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/product\/5201","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/types\/product"}],"replies":[{"embeddable":true,"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/comments?post=5201"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/media\/8899"}],"wp:attachment":[{"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/media?parent=5201"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/product_brand?post=5201"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/product_cat?post=5201"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/product_tag?post=5201"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}