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HEREDITARILY ANTISYMMETRIC OPERATOR ALGEBRAS
Published online by Cambridge University Press: 09 October 2019
Abstract
We introduce a notion of ‘hereditarily antisymmetric’ operator algebras and prove a structure theorem for them in finite dimensions. We also characterize those operator algebras in finite dimensions which can be made upper triangular and prove matrix analogs of the theorems of Dilworth and Mirsky for finite posets. Some partial results are obtained in the infinite dimensional case.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 20 , Issue 3 , May 2021 , pp. 1039 - 1074
- Copyright
- © Cambridge University Press 2019
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