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Inclusions of ternary rings of operators and conditional expectations
Published online by Cambridge University Press: 28 June 2013
Abstract
It is shown that if T is a ternary ring of operators (TRO), X is a nondegenerate sub-TRO of T and there exists a contractive idempotent surjective map P: T → X then P has a unique, explicitly described extension to a conditional expectation between the associated linking algebras. A version of the result for W*-TROs is also presented and some applications mentioned.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 155 , Issue 3 , November 2013 , pp. 475 - 482
- Copyright
- Copyright © Cambridge Philosophical Society 2013
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