A Characterization of the State Space of Quantum Mechanics
A glimpse at the theory of Jordan-Banach triple systems.
In this article, a survey of the theory of Jordan-Banach triple systems is presented. Most of the recent relevant results in this area have been included, though no proofs are given.
A new order relation for JB-algebras
A note on Jordan automorphisms
A note on Jordan rings of quotients
A Note on the Bidual of a JB-Algebra.
A proof of the Russo-Dye theorem for -algebras.
A Riemann Mapping Theorem for Bounded Symmetric Domains in Complex Banach Spaces.
A spectral characterization of the socle of Banach Jordan systems.
A spectral theory for order unit spaces
Algebraic structureof step nesting designs
Step nesting designs may be very useful since they require fewer observations than the usual balanced nesting models. The number of treatments in balanced nesting design is the product of the number of levels in each factor. This number may be too large. As an alternative, in step nesting designs the number of treatments is the sum of the factor levels. Thus these models lead to a great economy and it is easy to carry out inference. To study the algebraic structure of step nesting designs we introduce...
An approach to Jordan-Banach algebras from the theory of nonassociative complete normed algebras
Analytic properties of the spectrum in Banach Jordan Systems.
For Banach Jordan algebras and pairs the spectrum is proved to be related to the spectrum in a Banach algebra. Consequently, it is an analytic multifunction, upper semicontinuous with a dense G delta-set of points of continuity, and the scarcity theorem holds.
Asymmetric decompositions of vectors in -algebras
By investigating the extent to which variation in the coefficients of a convex combination of unitaries in a unital -algebra permits that combination to be expressed as convex combination of fewer unitaries of the same algebra, we generalise various results of R. V. Kadison and G. K. Pedersen. In the sequel, we shall give a couple of characterisations of -algebras of .
Automatic continuity of biorthogonality preservers between weakly compact JB*-triples and atomic JBW*-triples
We prove that every biorthogonality preserving linear surjection from a weakly compact JB*-triple containing no infinite-dimensional rank-one summands onto another JB*-triple is automatically continuous. We also show that every biorthogonality preserving linear surjection between atomic JBW*-triples containing no infinite-dimensional rank-one summands is automatically continuous. Consequently, two atomic JBW*-triples containing no rank-one summands are isomorphic if and only if there exists a (not...
Automorphism Groups of Jordan C*-Algebras.