We study the backward shift operator on Hilbert spaces Hα (for α ≥ 0) which are norm equivalent to the Dirichlet-type spaces Dα. Although these operators are unitarily equivalent to the adjoints of the forward shift operator on certain weighted Bergman spaces, our approach is direct and completely independent of the standard Cauchy duality. We employ only the classical Hardy space theory and an...

The longevity of many data formats is uncertain at best, and more often is disturbingly brief. Maintenance of backwards compatibility of proprietary formats is frustratingly limited. The physical media that store digital data are ephemeral. Even if the data are properly preserved, the information that allows the data to be searched and which maintains the context of the data is often lost, thre...

We present a family of dialectic proof procedures for the admissibility semantics of assumptionbased argumentation. These proof procedures are defined for any conventional logic formulated as a collection of inference rules and show how any such logic can be extended to a dialectic argumentation system. The proof procedures find a set of assumptions, to defend a given belief, by starting from a...

This research attempted to investigate the significance of an electronic commerce (EC) use model in small enterprises (SMEs) in New Zealand. The research model hypothesised ten factors as influencing the extent of EC usage significantly in SMEs. The research findings indicated that: relative advantage, cost, compatibility, size, information intensity of product, competition, pressure from suppl...