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Ideal decompositions
of a ternary ring of operators with predual
Masayoshi Kaneda |
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Vol. 266 (2013), No. 2, 297–303
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Abstract |
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We show that any TRO (ternary ring of operators) with predual can be decomposed into the direct sum of a two-sided ideal, a left ideal, and a right ideal in some von Neumann algebra using an extreme point of the unit ball of the TRO. |
Keywords
extreme points, dual operator spaces, von Neumann algebras,
ideals, ternary rings of operators
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Mathematical Subject Classification 2010
Primary: 46L45, 47L20
Secondary: 46L07, 47L25, 47L50, 47L07
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Milestones
Received: 30 September 2012
Accepted: 5 March 2013
Published: 12 November 2013
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Authors |
| Masayoshi Kaneda | |
| Department of Mathematics University of California, Irvine 340 Rowland Hall Irvine, CA 92697-3875 United States |
Department of Mathematics School of Science and Technology Nazarbayev University 53 Kabanbay Batyr Avenue Astana 010000 Kazakhstan |
| http://sst.nu.edu.kz/sst/Academics/departments/Mathematics/Mathematics_People/MasayoshiKaneda | |
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