{"id":{"repo_id":"rice","oai_identifier":"oai:repository.rice.edu:1911/18442"},"canonical_url":"https://search.dev.ndltd.org/etd/rice/oai:repository.rice.edu:1911/18442","repository":{"repo_id":"rice","name":"Rice University","base_url":"https://repository.rice.edu/server/oai/request"},"display":{"title":"On invariant subspaces of a normal operator","abstract":"Our principal interest, in the work that follows, is the discovery of conditions on the spectrum of a normal operator which imply that the operator has invariant non-reducing subspaces. We were led to this study by the work of Halmos, Wermer, and Bram.","abstract_html":"Our principal interest, in the work that follows, is the discovery of conditions on the spectrum of a normal operator which imply that the operator has invariant non-reducing subspaces. We were led to this study by the work of Halmos, Wermer, and Bram.","abstract_has_math":false,"creators":["Scroggs, James E."],"institution":"Rice University","degree_name":"Doctor of Philosophy","degree_level":"Doctoral","degree_discipline":"Natural Sciences","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1957,"date_issued":"1957","date_published":"1957","updated_at":"2026-07-24T04:10:26Z","subjects":["Mathematics"],"languages":["eng"],"rights":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/1911/18442","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Scroggs, James E."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2007-08-21T01:07:56Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2007-08-21T01:07:56Z"]},{"key":"dc:date.issued","label":"Date","values":["1957"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Natural Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Doctoral"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Rice University"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/1911/18442"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Our principal interest, in the work that follows, is the discovery of conditions on the spectrum of a normal operator which imply that the operator has invariant non-reducing subspaces. We were led to this study by the work of Halmos, Wermer, and Bram."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["On invariant subspaces of a normal operator"]}]}],"canonical_facts":{"dc:creator":["Scroggs, James E."],"dc:date.accessioned":["2007-08-21T01:07:56Z"],"dc:date.available":["2007-08-21T01:07:56Z"],"dc:date.issued":["1957"],"dc:description.abstract":["Our principal interest, in the work that follows, is the discovery of conditions on the spectrum of a normal operator which imply that the operator has invariant non-reducing subspaces. We were led to this study by the work of Halmos, Wermer, and Bram."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["https://hdl.handle.net/1911/18442"],"dc:language.iso":["eng"],"dc:rights":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."],"dc:subject":["Mathematics"],"dc:title":["On invariant subspaces of a normal operator"],"dc:type":["Thesis"],"thesis:degree_discipline":["Natural Sciences"],"thesis:degree_level":["Doctoral"],"thesis:degree_name":["Doctor of Philosophy"],"thesis:institution_name":["Rice University"]},"updated_at":"2026-07-24T04:10:26Z"}