Title

A banach algebra approach to loos symmetric cones

Document Type

Article

Publication Date

1-1-2020

Abstract

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

First Page

461

Last Page

471

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