On the range of TRO-conditional expectations

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Abstract

The purpose of this paper is to discuss the relationship between a TRO T and a sub-TRO S that is the range of a TRO-conditional expectation on T (a ternary corner) by investigating a class D of bounded linear maps on T. We pay particular attention to the case when the TROs contain partial isometries.

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Estaremi, Y., & Mathieu, M. (2023). On the range of TRO-conditional expectations. Linear Algebra and Its Applications, 670, 78–103. https://doi.org/10.1016/j.laa.2023.04.002

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