Spin spaces and positive decomposition of linear maps on ordered Banach spaces

Bunce, L. J. and Peralta, A. M. (2005) Spin spaces and positive decomposition of linear maps on ordered Banach spaces. Quarterly Journal of Mathematics, 56 (1). pp. 43-52. doi: 10.1093/qmath/hah021

Abstract/Summary

Spin factors and generalizations are used to revisit positive generation of B(E, F), where E and F are ordered Banach spaces. Interior points of B(E, F)+ are discussed and in many cases it is seen that positive generation of B(E, F) is controlled by spin structure in F when F is a JBW-algebra.