Some affine geometric aspects of operator algebras
1989en
ABI
Abstract
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.
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Cited by 100 references