A banach algebra approach to loos symmetric cones
We consider Loos symmetric spaces on an open cone ω in the Banach space setting and show how such Loos symmetric spaces may be realized from the set of elements inverted by an involution on a Banach-Lie group. The group is a subgroup of the group of invertible elements of the Banach algebra of all bounded linear transformations on the Banach space V = ω ω. This construction connects the theory of Loos symmetric cones to that of involutive Lie groups.
Publication Source (Journal or Book title)
Journal of Lie Theory
Lawson, J. (2020). A banach algebra approach to loos symmetric cones. Journal of Lie Theory, 30 (2), 461-471. Retrieved from https://digitalcommons.lsu.edu/mathematics_pubs/569