Three characterisations of the sequential product

@article{Wetering2018ThreeCO,
title={Three characterisations of the sequential product},
author={J. V. D. Wetering},
journal={arXiv: Operator Algebras},
year={2018}
}
It has already been established that the properties required of an abstract sequential product as introduced by Gudder and Greechie are not enough to characterise the standard sequential product $a\circ b = \sqrt{a}b\sqrt{a}$ on an operator algebra. We give three additional properties, each of which characterises the standard sequential product on either a von Neumann algebra or a Euclidean Jordan algebra. These properties are (1) invariance under application of unital order isomorphisms, (2… Expand
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