Some affine geometric aspects of operator algebras
Published Web Locationhttps://doi.org/10.2140/pjm.1989.137.123
The predual of a von Neumann algebra is shown to be a neutral strongly facially symmetric space, thereby suggesting an affine geometric approach to operator algebras and their non-associative analogues. Geometric proofs are obtained for the polar decompositions of normal functionals in ordered and non-ordered settings. © 1989 by Pacific Journal of Mathematics.