{"id":38983,"date":"2021-10-11T19:49:51","date_gmt":"2021-10-11T16:49:51","guid":{"rendered":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=38983"},"modified":"2021-10-27T11:33:18","modified_gmt":"2021-10-27T08:33:18","slug":"%d9%82%d8%b3%d9%85-%d8%a7%d9%84%d8%b1%d9%8a%d8%a7%d8%b6%d9%8a%d8%a7%d8%aa-%d9%8a%d9%86%d8%a7%d9%82%d8%b4-%d8%a3%d8%b7%d8%b1%d9%88%d8%ad%d8%a9-%d8%af%d9%83%d8%aa%d9%88%d8%b1%d8%a7%d9%87-%d8%aa%d8%a8-2","status":"publish","type":"post","link":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=38983","title":{"rendered":"\u0645\u0646\u0627\u0642\u0634\u0629 \u0623\u0637\u0631\u0648\u062d\u0629 \u062f\u0643\u062a\u0648\u0631\u0627\u0647 \u062a\u0628\u062d\u062b \u0641\u064a \u0627\u0644\u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0631\u064a\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 \u0639\u0644\u0649 \u0641\u0636\u0627\u0621\u0627\u062a \u0647\u0644\u0628\u0631\u062a"},"content":{"rendered":"

<\/h4>\n

\"\"<\/span><\/h4>\n

\u0646\u0627\u0642\u0634 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 (\u0627\u0628\u0646 \u0627\u0644\u0647\u064a\u062b\u0645) \u0623\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u062f\u0643\u062a\u0648\u0631\u0627\u0647 \u0627\u0644\u0645\u0648\u0633\u0648\u0645\u0629 ( \u0646\u062a\u0627\u0626\u062c \u0639\u0646 \u0627\u0644\u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0631\u064a\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 \u0639\u0644\u0649 \u0641\u0636\u0627\u0621\u0627\u062a \u0647\u0644\u0628\u0631\u062a ) \u0644\u0644\u0637\u0627\u0644\u0628\u0629 ( \u0631\u0646\u0627 \u0639\u0628\u062f \u0627\u0644\u0643\u0631\u064a\u0645 \u062f\u0627\u0648\u062f ) \u0627\u0644\u062a\u064a \u0627\u0646\u062c\u0632\u062a\u0647\u0627 \u062a\u062d\u062a \u0627\u0634\u0631\u0627\u0641 (\u0623.\u0645.\u062f. \u0632\u064a\u0646\u0629 \u0632\u0643\u064a \u062c\u0645\u064a\u0644 ) \u0648\u0646\u0648\u0642\u0634\u062a \u0645\u0646 \u0642\u0628\u0644 \u0623\u0639\u0636\u0627\u0621 \u0644\u062c\u0646\u0629 \u0627\u0644\u0645\u0646\u0627\u0642\u0634\u0629 \u0627\u0644\u0645\u062f\u0631\u062c\u0629 \u0623\u0633\u0645\u0627\u0626\u0647\u0645 \u0641\u064a\u0645\u0627 \u064a\u0623\u062a\u064a :<\/span><\/h4>\n
    \n
  • \n

    \u0623.\u062f. \u0633\u0644\u0648\u0649 \u0633\u0644\u0645\u0627\u0646 \u0639\u0628\u062f (\u0631\u0626\u064a\u0633\u0627)<\/span><\/h4>\n<\/li>\n
  • \n

    \u0623.\u0645.\u062f. \u0632\u064a\u0646\u0629 \u062d\u0633\u064a\u0646 \u0639\u0628\u064a\u062f (\u0639\u0636\u0648\u0627)<\/span><\/h4>\n<\/li>\n
  • \n

    \u0623.\u0645.\u062f. \u0627\u064a\u0645\u0627\u0646 \u062d\u0633\u0646 \u0639\u0628\u0648\u062f (\u0639\u0636\u0648\u0627)<\/span><\/h4>\n<\/li>\n
  • \n

    \u0623.\u0645.\u062f. \u0627\u0631\u0648\u0649 \u0646\u0632\u0627\u0631 \u0645\u0635\u0637\u0641\u0649 (\u0639\u0636\u0648\u0627)<\/span><\/h4>\n<\/li>\n
  • \n

    \u0623.\u0645.\u062f. \u0639\u0644\u0627\u0621 \u0639\u062f\u0646\u0627\u0646 \u0639\u0648\u0627\u062f (\u0639\u0636\u0648\u0627)<\/span><\/h4>\n<\/li>\n
  • \n

    \u0623.\u0645.\u062f. \u0632\u064a\u0646\u0629 \u0632\u0643\u064a \u062c\u0645\u064a\u0644 (\u0639\u0636\u0648\u0627 \u0648\u0645\u0634\u0631\u0641\u0627)<\/span><\/h4>\n<\/li>\n<\/ul>\n

    \"\"\u0648\u064a\u0647\u062f\u0641 \u0627\u0644\u0628\u062d\u062b \u0627\u0644\u0649 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0631\u064a\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 \u0648\u0627\u064a\u062c\u0627\u062f \u0645\u0639\u0627\u064a\u064a\u0631 \u062c\u062f\u064a\u062f\u0629 \u0644\u0627\u064a\u062c\u0627\u062f \u0647\u0630\u0647 \u0627\u0644\u0627\u0646\u0648\u0627\u0639 \u0645\u0646 \u0627\u0644\u0645\u0624\u062b\u0631\u0627\u062a \u0648\u0643\u0630\u0644\u0643 \u062a\u0642\u062f\u064a\u0645 \u0645\u0641\u0627\u0647\u064a\u0645 \u062c\u062f\u064a\u062f\u0629 \u062a\u0643\u0627\u0641\u0649\u0621 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u064a\u064a\u0631 \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0646\u0643\u0648\u0646 \u0642\u062f \u0642\u062f\u0645\u0646\u0627 \u0627\u062d\u062f\u0649 \u0648\u0633\u0627\u0626\u0644 \u062d\u0644 \u0644\u0627\u0647\u0645 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0645\u0641\u062a\u0648\u062d\u0629 \u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u0624\u062b\u0631\u0627\u062a (\u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u062b\u0627\u0628\u062a\u0629)<\/span><\/h4>\n

    \u0648\u0647\u0630\u0627 \u0627\u0644\u0628\u062d\u062b \u064a\u0644\u0642\u064a \u0627\u0644\u0636\u0648\u0621 \u0639\u0644\u0649 \u0627\u062b\u0646\u0627\u0646 \u0645\u0646 \u0645\u0639\u0627\u064a\u064a\u0631 \u0627\u0644\u0645\u0624\u062b\u0631 \u0627\u0644\u062f\u0648\u0627\u0631\u064a \u0627\u0644\u0642\u0631\u0635\u064a (\u0627\u0644\u0627\u0635\u062f\u0627\u06311) \u0648\u0627\u0644\u0645\u0628\u0633\u0637 \u0645\u0646\u0647 (). \u0648\u0639\u0644\u064a\u0647 \u0641\u0623\u0646 \u0647\u0630\u0627 \u0627\u0644\u0639\u0645\u0644 \u064a\u0642\u0633\u0645 \u0627\u0644\u0649 \u062c\u0632\u0626\u064a\u0646:<\/span><\/h4>\n

    \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0627\u0648\u0644: \u064a\u062a\u0636\u0645\u0646 \u0645\u0639\u0627\u064a\u064a\u0631\u062c\u062f\u064a\u062f\u0629 \u0644\u0644\u0645\u0624\u062b\u0631 \u0627\u0644\u062f\u0648\u0627\u0631\u064a \u0627\u0644\u0642\u0631\u0635\u064a \u0648\u0628\u0631\u0647\u0627\u0646 \u062a\u0643\u0627\u0641\u0624\u0647\u0627 \u062c\u0645\u064a\u0639\u0627. \u0647\u0630\u0627 \u0642\u0627\u062f\u0646\u0627 \u0627\u0644\u0649 \u062a\u0642\u062f\u064a\u0645 \u0645\u0641\u0647\u0648\u0645 \u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0631\u064a\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 \u0627\u0644\u0648\u0631\u0627\u062b\u064a\u0629 \u0648\u0643\u0630\u0644\u0643 \u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0637\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 \u0627\u0644\u0636\u0639\u064a\u0641\u0629.<\/span><\/h4>\n

    \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u062b\u0627\u0646\u064a: \u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0645\u0639\u0627\u064a\u064a\u0631 \u0627\u0644\u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0631\u064a\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 (1.2.1). \u0627\u0644\u0630\u064a \u0627\u062f\u0649 \u0627\u0644\u0649 \u0645\u0641\u0647\u0648\u0645 \u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0637\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629. \u0648\u0635\u0641\u0646\u0627\u0647 \u0628\u0648\u0627\u0633\u0637\u0629 \u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0639\u0648\u062f\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629\u060c \u0648\u0627\u0648\u0636\u062d\u0646\u0627 \u0627\u0646\u0647 \u0645\u062e\u062a\u0644\u0641 \u0639\u0646 \u0627\u0644\u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0631\u064a\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062c\u062f\u0627\u0626\u064a\u0629 \u0627\u0644\u0645\u0628\u0627\u0634\u0631\u0629.<\/span><\/h4>\n

    \u0648\u0627\u062e\u064a\u0631\u0627 \u0648\u0644\u064a\u0633 \u0627\u062e\u0631\u0627\u060c \u0627\u0639\u0637\u064a\u0646\u0627 \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0639\u0644\u0649 \u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0631\u064a\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 \u060c \u0641\u064a \u0627\u0644\u0628\u062f\u0627\u064a\u0629\u060c \u0639\u0644\u0649 \u0627\u0644\u0641\u0636\u0627\u0621 \u00a0\u0627\u0644\u0630\u064a \u0627\u0634\u0627\u0631 \u0627\u0644\u0649 \u0645\u0639\u0627\u064a\u064a\u0631 \u0627\u0644\u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0631\u064a\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 (1.2.1)\u060c \u0648\u0627\u0644\u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0631\u064a\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 (1.2.3) \u0648 \u0627\u0644\u0645\u062e\u062a\u0644\u0637\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 \u0647\u064a \u062a\u0648\u0623\u0645. \u0641\u064a \u0627\u0644\u0646\u0647\u0627\u064a\u0629\u060c \u0639\u0644\u0649 \u0641\u0636\u0627\u0621 \u00a0<\/em>\u0628\u0631\u0647\u0646\u0627 \u0627\u0646 \u0627\u0644\u062c\u062f\u0627\u0621 \u0627\u0644\u0645\u0628\u0627\u0634\u0631\u063a\u064a\u0631 \u0627\u0644\u0645\u0646\u062a\u0647\u064a \u0644\u0644\u0645\u0624\u062b\u0631\u0627\u062a \u064a\u0643\u0648\u0646 \u0645\u0624\u062b\u0631\u0645\u062e\u062a\u0644\u0637 \u0627\u0644\u0642\u0631\u0635 \u0627\u0630\u0627 \u0648\u0641\u0642\u0637 \u0627\u0630\u0627 \u0643\u0627\u0646\u0648\u0627 \u0645\u0624\u062b\u0631\u0627\u062a \u0645\u062e\u062a\u0644\u0637\u0629 \u0642\u0631\u0635\u064a\u0629 \u062c\u0645\u064a\u0639\u0627.<\/span><\/h4>\n
    \n

    \u00a0Results of Disk-cyclic Operators on Hilbert Spaces<\/span><\/h3>\n

    By Rana Abdulkareem Dawood<\/span><\/h3>\n

    Supervised by Ass. proof. Dr. ZeanaZaki Jamil<\/span><\/h3>\n

    The aim of study<\/span><\/h3>\n

    A study on the disk-cyclic operators and finding new Criteria to finding these types of operators, as well as presenting new concepts that are equivalent to these Criteria. Thus, we have presented a way to solve one of the open problems, which is (Invariant Subspace Problem).<\/span><\/h3>\n

    The abstract<\/span><\/h3>\n

    The work shed light on two Disk-cyclic Criterions (1.2.1) and its simplified (1.2.3). Hence this work is divided into two parts:<\/span><\/h3>\n

    First part: included a new versions of Disk-cyclic Criterion (1.2.3) and proved they are equivalent, discussed the condition that makes disk-cyclic operator satisfies the Disk-cyclic Criterion. This led to introduce the concept of hereditarily disk-cyclic operators as well as weakly disk-mixing operators. We discussed their properties and their relation with Disk-cyclic Criterion (1.2.3).\u00a0<\/span><\/h3>\n

    Second Part: dealt with Disk-cyclic Criterion (1.2.1) which implies to disk-mixing concept. We describe it by using – return sets and showed it is different from disk-cyclic in direct sum and property<\/span><\/h3>\n

    And least but not last, we gave applications on disk-cyclic phenomena, first one, on \u00a0space that indicated Disk-cyclic Criterion (1.2.1), Disk-cyclic Criterion (1.2.3) and disk-mixing operator are twin. The other, on \u00a0space and prove that infinite direct sum of operators is disk-mixing if and only they are disk-mixing operators.<\/span><\/h3>\n","protected":false},"excerpt":{"rendered":"

    \u0646\u0627\u0642\u0634 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 (\u0627\u0628\u0646 \u0627\u0644\u0647\u064a\u062b\u0645) \u0623\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u062f\u0643\u062a\u0648\u0631\u0627\u0647 \u0627\u0644\u0645\u0648\u0633\u0648\u0645\u0629 ( \u0646\u062a\u0627\u0626\u062c \u0639\u0646 \u0627\u0644\u0645\u0624\u062b\u0631\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0631\u064a\u0629 \u0627\u0644\u0642\u0631\u0635\u064a\u0629 \u0639\u0644\u0649….<\/i>\u0627\u0644\u0645\u0632\u064a\u062f<\/span><\/a><\/p>\n","protected":false},"author":25,"featured_media":38986,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_lmt_disableupdate":"no","_lmt_disable":"","footnotes":""},"categories":[7,16],"tags":[23,49],"class_list":["post-38983","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7","category-16","tag-ihcoedu","tag-math"],"modified_by":"ihcoedu","_links":{"self":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/38983","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/users\/25"}],"replies":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=38983"}],"version-history":[{"count":0,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/38983\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/media\/38986"}],"wp:attachment":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=38983"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=38983"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=38983"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}