{"id":{"repo_id":"unt","oai_identifier":"info:ark/67531/metadc4349"},"canonical_url":"https://search.dev.ndltd.org/etd/unt/info:ark/67531/metadc4349","repository":{"repo_id":"unt","name":"University of North Texas","base_url":"https://digital.library.unt.edu/oai/"},"display":{"title":"Complemented Subspaces of Bounded Linear Operators","abstract":"For many years mathematicians have been interested in the problem of whether an operator ideal is complemented in the space of all bounded linear operators. In this dissertation the complementation of various classes of operators in the space of all bounded linear operators is considered. This paper begins with a preliminary discussion of linear bounded operators as well as operator ideals. Let L(X, Y ) be a Banach space of all bounded linear operator between Banach spaces X and Y , K(X, Y ) be the space of all compact operators, and W(X, Y ) be the space of all weakly compact operators. We denote space all operator ideals by O.","abstract_html":"For many years mathematicians have been interested in the problem of whether an operator ideal is complemented in the space of all bounded linear operators. In this dissertation the complementation of various classes of operators in the space of all bounded linear operators is considered. This paper begins with a preliminary discussion of linear bounded operators as well as operator ideals. Let L(X, Y ) be a Banach space of all bounded linear operator between Banach spaces X and Y , K(X, Y ) be the space of all compact operators, and W(X, Y ) be the space of all weakly compact operators. We denote space all operator ideals by O.","abstract_has_math":false,"creators":["Bahreini Esfahani, Manijeh"],"institution":"University of North Texas","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Bator, Elizabeth M.","Lewis, Paul","Iaia, Joseph"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2003,"date_issued":"2003-08","date_published":"2003-08","updated_at":"2026-07-24T05:35:09Z","subjects":["Linear operators.","Banach spaces.","complemented subspaces","compact operators","linear operators","operator ideal"],"languages":["English"],"rights":["Public","Copyright","Bahreini Esfahani, Manijeh","Copyright is held by the author, unless otherwise noted. All rights reserved."],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["oclc: 53451600","https://digital.library.unt.edu/ark:/67531/metadc4349/","ark: ark:/67531/metadc4349"],"render_values":[{"text":"oclc: 53451600","href":null,"code":true},{"text":"https://digital.library.unt.edu/ark:/67531/metadc4349/","href":"https://digital.library.unt.edu/ark:/67531/metadc4349/","code":true},{"text":"ark: ark:/67531/metadc4349","href":null,"code":true}]}]},"links":{"outbound_url":"https://doi.org/10.12794/metadc4349","outbound_label":"DOI","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Bator, Elizabeth M.","Lewis, Paul","Iaia, Joseph"]},{"key":"dc:creator","label":"Author","values":["Bahreini Esfahani, Manijeh"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2003-08"]},{"key":"dc:publisher","label":"Institution","values":["University of North Texas"]},{"key":"dc:type","label":"Dc Type","values":["Thesis or Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Linear operators.","Banach spaces.","complemented subspaces","compact operators","linear operators","operator ideal"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:rights","label":"Dc Rights","values":["Public","Copyright","Bahreini Esfahani, Manijeh","Copyright is held by the author, unless otherwise noted. 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We denote space all operator ideals by O."]},{"key":"dc:format","label":"Dc Format","values":["Text"]},{"key":"dc:title","label":"Title","values":["Complemented Subspaces of Bounded Linear Operators"]}]}],"canonical_facts":{"dc:contributor":["Bator, Elizabeth M.","Lewis, Paul","Iaia, Joseph"],"dc:creator":["Bahreini Esfahani, Manijeh"],"dc:date":["2003-08"],"dc:description":["For many years mathematicians have been interested in the problem of whether an operator ideal is complemented in the space of all bounded linear operators. In this dissertation the complementation of various classes of operators in the space of all bounded linear operators is considered. This paper begins with a preliminary discussion of linear bounded operators as well as operator ideals. Let L(X, Y ) be a Banach space of all bounded linear operator between Banach spaces X and Y , K(X, Y ) be the space of all compact operators, and W(X, Y ) be the space of all weakly compact operators. We denote space all operator ideals by O."],"dc:format":["Text"],"dc:identifier":["oclc: 53451600","doi: 10.12794/metadc4349","https://digital.library.unt.edu/ark:/67531/metadc4349/","ark: ark:/67531/metadc4349"],"dc:language":["English"],"dc:publisher":["University of North Texas"],"dc:rights":["Public","Copyright","Bahreini Esfahani, Manijeh","Copyright is held by the author, unless otherwise noted. All rights reserved."],"dc:subject":["Linear operators.","Banach spaces.","complemented subspaces","compact operators","linear operators","operator ideal"],"dc:title":["Complemented Subspaces of Bounded Linear Operators"],"dc:type":["Thesis or Dissertation"]},"updated_at":"2026-07-24T05:35:09Z"}