4 citations · 6 across the 4 of their papers we have counts for
4 papers
Nonstandard Hulls of C*-Algebras
Stefano Baratella, Siu-Ah Ng
We study properties of C*-algebras obtained from the nonstandard hull construction (a generalization of the ultraproduct of C*-algebras). Among others, we prove that the properties…
Bidual as a weak nonstandard hull
Siu-Ah Ng
We construct the weak nonstandard hull of a normed linear space X from *X (the nonstandard extension of X) using the weak topology on X. The bidual (i.e. the second dual) X" is sho…
Some identities and formulas involving generalized Catalan numbers
Siu-Ah Ng
A generalization of the Catalan numbers is considered. New results include binomial identities, recursive relations and a close formula for the multivariate generating function. A…
Levy Processes on a First Order Model
Siu-Ah Ng
The classical notion of Lévy process is generalized to one that takes as its values probabilities on a first order model equipped with a commutative semigroup. This is achieved by…