A -algebra on Schur algebras.
A characterization of completely bounded multipliers of Fourier algebras
A Class of C*-algebras and Topological Markov Chains II: Reducible Chains and the Ext-functor for C*-algebras.
A class of simple tracially AF -algebras.
A classification result for simple real approximate interval algebras.
A direct approach to co-universal algebras associated to directed graphs.
A Duality Between Hilbert Modules And Fields Of Hilbert Spaces.
A fixed point approach to the stability of a quadratic functional equation in -algebras.
A functional inequality in restricted domains of Banach modules.
A Gelfand-Neumark Theorem for C*-Alternative Algebras.
A geometry on the space of probabilities (I). The finite dimensional case.
In this note we provide a natural way of defining exponential coordinates on the class of probabilities on the set Ω = [1,n] or on P = {p = (p1, ..., pn) ∈ Rn| pi > 0; Σi=1n pi = 1}. For that we have to regard P as a projective space and the exponential coordinates will be related to geodesic flows in Cn.
A geometry on the space of probabilities (II). Projective spaces and exponential families.
In this note we continue a theme taken up in part I, see [Gzyl and Recht: The geometry on the class of probabilities (I). The finite dimensional case. Rev. Mat. Iberoamericana 22 (2006), 545-558], namely to provide a geometric interpretation of exponential families as end points of geodesics of a non-metric connection in a function space. For that we characterize the space of probability densities as a projective space in the class of strictly positive functions, and these will be regarded as a...
A Holomorphic Characterization of Jordan C*-Algebras.
A Korovkin Theorem for Schwarz Maps on C*-Algebras.
A local version of the Dauns-Hofmann theorem.
A maximal Abelian subalgebra of the Calkin algebra with the extension property.
A multi-dimensional spectral theory in C*-algebras
A new proof of the noncommutative Banach-Stone theorem
Surjective isometries between unital C*-algebras were classified in 1951 by Kadison [K]. In 1972 Paterson and Sinclair [PS] handled the nonunital case by assuming Kadison’s theorem and supplying some supplementary lemmas. Here we combine an observation of Paterson and Sinclair with variations on the methods of Yeadon [Y] and the author [S1], producing a fundamentally new proof of the structure of surjective isometries between (nonunital) C*-algebras. In the final section we indicate how our techniques...
A New Technique to Deal With Cuntz-Algebras.
A note on complemented Banach *-algebras.