منابع مشابه
Geometric Unitaries in Jb-algebras
In this article, we study geometric unitaries of JB-algebras (in particular, self-adjoint parts of C∗-algebras). We will show that the geometric unitaries of a JB algebra are precisely those central algebraic unitaries (or central symmetries). We will also show that the group of surjective isometries on a JB-algebra A (with point-norm topology) is the semi-direct product of the canonical action...
متن کاملCHEBYSHEV SUBALGEBRAS OF JB-ALGEBRAS
In this note, we characterize Chebyshev subalgebras of unital JB-algebras. We exhibit that if B is Chebyshev subalgebra of a unital JB-algebra A, then either B is a trivial subalgebra of A or A= H R .l, where H is a Hilbert space
متن کاملAsymmetric Decompositions of Vectors in Jb∗-algebras
By investigating the extent to which variation in the coefficients of a convex combination of unitaries in a unital JB-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 JB-algebras of tsr
متن کاملConvex combinations of unitaries in JB∗-algebras
We continue our recent efforts to exploit the notion of a unitary isotope to study convex combinations of unitaries in an arbitrary JB∗-algebra. Exact analogues of C∗-algebraic results, due to R. V. Kadison, C. L. Olsen and G. K. Pedersen, are proved for general JB∗-algebras. We show that if a contraction in a JB∗-algebra is a convex combination of n unitaries, then it is also a mean of n unita...
متن کاملQuantitative Multivariate Random Korovkin Theory
We introduce and study the very general multivariate stochastic positive linear operators induced by general multivariate positive linear operators that are acting on multivariate continuous functions. These are acting on the spaces of real differentiable multivariate time stochastic processes. Under some very mild, general and natural assumptions on the stochastic processes we produce related ...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1997
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-12880