following collapse of the soviet :union:, regional integration has been regarded as one of the requirements that need to be met by various regions wishing to be a part of globalization process. the eco region, particularly countries in central asia and the caucasus are not an exception. nevertheless, this region has been faced with some integration challenges. employing an analytical-descriptiv...

We take th e F u jita & Thisse (2003) grow th-cum -geography m odel to investigate th e effect of m igration and enduring social re lationships on regional p roduction and grow th. We assert th a t m igration is an im ­ p o rta n t fac to r to overcome th e d istance decay effect of cross-regional knowledge spillovers, while social ties determ ine th e ex ten t to which th is is th e case. O ur...

Dedicated to R. T. Rockafellar on his 60th Birthday In a Banach space X, we introduce a criterion for comparing the Wijsman topologies that are induced by two equivalent norms of X on the hyperspace of closed convex sets C(X). Thereafter, we study the duality map associated with the unit ball of a given norm of X in relation to its composition with the polarity map. This more geometrical descri...

The classical Stone-Weierstrass theorem claims that the algebra of all real polynomials on a finite-dimensional real Banach space X is dense, in the topology of uniform convergence on bounded sets (we will always consider this topology, unless otherwise stated), in the space of continuous real functions on X. On the other hand ([12]), on every infinite-dimensional Banach space X there exists a ...

1. Introduction. Let (R") is the algebra Q1(Rn) of all real-valued functions of class C1. In other words, for every fEG1(Rn) there is a sequence {pn} of polynomials such that pn—*/ uniformly o...

Functional analysis and topology were born in the first two decades of the twentieth century and each has greatly influenced the other. Identifying the dual space—the space of continuous linear functionals—of a normed space played an especially important role in the formative years of functional analysis. To further this endeavor, many new kinds (weak, strong, etc.) of convergence and compactne...

A systematic study is made of spectral measures in locally convex spaces which are countably additive for the topology of uniform convergence on bounded sets, briefly, the bounded convergence topology. Even though this topology is not compatible for the duality with respect to the pointwise convergence topology it turns out, somewhat surprisingly, that the corresponding L'-spaces for the spectr...

The majority of the studies on regional convergence ignore the spatial characteristics of the problem. In a recent paper Rey and Montouri (1999) considered the issue of income regional convergence on US under the spatial econometric perspective. The present paper follows the Rey and Montouri’s (1999) approach and introduces some spatial econometric techniques for convergence among Brazilian sta...

A stochastic model is presented, based on a double process of temporal drift and random disturbance, to fit the evolution of cross-country distribution of income and economic activity. Instead of assuming a steady state as is standard practice, a long run stationary equilibrium distribution is hypothesized, around which economic activity fluctuates. An empirical application comparing dynamics o...

The purpose of this article is to propose a unified theory for topologies on the closed subsets of a metrizable space. It can be shown that all of the standard hyperspace topologies—including the Hausdorff metric topology, the Vietoris topology, the Attouch-Wets topology, the Fell topology, the locally finite topology, and the topology of Mosco convergence—arise as weak topologies generated by ...