{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T03:08:53Z","timestamp":1770692933293,"version":"3.49.0"},"reference-count":33,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2003,1,17]],"date-time":"2003-01-17T00:00:00Z","timestamp":1042761600000},"content-version":"vor","delay-in-days":16,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematische Nachrichten"],"published-print":{"date-parts":[[2003,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Nest algebras provide examples of partial Jordan *\u2013triples. If <jats:italic>A<\/jats:italic> is a nest algebra and <jats:italic>A<\/jats:italic><jats:sub><jats:italic>s<\/jats:italic><\/jats:sub> = <jats:italic>A<\/jats:italic> \u2229 A*, where <jats:italic>A<\/jats:italic>* is the set of the adjoints of the operators lying in <jats:italic>A<\/jats:italic>, then (<jats:italic>A<\/jats:italic>, <jats:italic>A<\/jats:italic><jats:sub><jats:italic>s<\/jats:italic><\/jats:sub>) forms a partial Jordan *\u2013triple. Any weak*\u2013closed ideal in the nest algebra <jats:italic>A<\/jats:italic> is also an ideal in the partial Jordan *\u2013triple (<jats:italic>A<\/jats:italic>, <jats:italic>A<\/jats:italic><jats:sub><jats:italic>s<\/jats:italic><\/jats:sub>). An analysis of the ideal structure of (<jats:italic>A<\/jats:italic>, <jats:italic>A<\/jats:italic><jats:sub><jats:italic>s<\/jats:italic><\/jats:sub>) shows that, for a large class of nest algebras, the converse is also true.<\/jats:p>","DOI":"10.1002\/mana.200310008","type":"journal-article","created":{"date-parts":[[2003,1,24]],"date-time":"2003-01-24T16:03:23Z","timestamp":1043424203000},"page":"129-143","source":"Crossref","is-referenced-by-count":8,"title":["Weak*\u2013closed Jordan ideals of nest algebras"],"prefix":"10.1002","volume":"248-249","author":[{"given":"Lina","family":"Oliveira","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2003,1,17]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.2307\/2048214"},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","unstructured":"J.Arazy An Application of Infinite Dimensional Holomorphy to the Geometry of Banach Spaces. Geometrical Aspects of Functional Analysis Lecture Notes in Mathematics1267(Springer\u2013Verlag Berlin\u2013Heidelberg \u2013New York 1987) p. 122\u2013150.","DOI":"10.1007\/BFb0078141"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(90)90085-Y"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01168604"},{"key":"e_1_2_1_6_2","unstructured":"K. R.Davidson Nest Algebras Pitman Research Notes in Mathematics Series191( Longman Scientific and Technical London 1988)."},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s1-43.1.391"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-44.1.143"},{"key":"e_1_2_1_9_2","first-page":"219","article-title":"Weakly closed ideals of nest algebras","volume":"7","author":"Erdos J. A.","year":"1982","journal-title":"J. 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