Search results for "Conditional convergence"

Public capital and productive efficiency in the Spanish regions (1964–89)

1995

The article analyses the evolution of the differences in economic conditions among Spanish regions from the perspective provided by the recent advances made in economic growth empirics. Although convergence is usually established in terms of Gross Value Added (GVA) per capita, in the case of Spain it is of special interest to break it down into three separate elements: activity rate, employment rate, and productivity of labour. Regional differences in unemployment rates, which persist for long periods of time, are identified as a force against convergence. After describing the distinction between conditional and non conditional convergence, the paper considers the role played by the product…

Convergence in the OECD: Transitional Dynamics or Narrowing Steady-State Differences?

2004

I. INTRODUCTION Research on growth and convergence has proceeded through several stages that can be described as a process of accommodating cross-country heterogeneity into the convergence equation. In the first stage, the world could be described as countries approaching to equal (absolute convergence) or to different (conditional convergence) steady states. In both cases--see Baumol (1986) Barro and Sala i Martin (1992), or Mankiw et al. (1992)--the assumption of parameter homogeneity of the underlying production function was assumed and not tested. Later, some researchers (Knight et al. [1993], Islam [1995], Durlauf and Johnson [1995], or Caselli et al. [1996], among others) began to cha…

Distribution Dynamics and Nonlinear Growth

2003

Topological Dual Systems for Spaces of Vector Measure p-Integrable Functions

2016

[EN] We show a Dvoretzky-Rogers type theorem for the adapted version of the q-summing operators to the topology of the convergence of the vector valued integrals on Banach function spaces. In the pursuit of this objective we prove that the mere summability of the identity map does not guarantee that the space has to be finite dimensional, contrary to the classical case. Some local compactness assumptions on the unit balls are required. Our results open the door to new convergence theorems and tools regarding summability of series of integrable functions and approximation in function spaces, since we may find infinite dimensional spaces in which convergence of the integrals, our vector value…

El model de Solow: anàlisi teòrica, interpretació econòmica i contrast de la hipòtesi de convergència

2010

Les assignatures vinculades a l’estudi de la macroeconomia solen resultar especialment àrides per als alumnes a causa de l’elevat aparell analític necessari per al desenvolupament del programa. Per això, en aquest article proposem una pràctica en la que: (i) es contrasta empíricament la hipòtesi de convergència; i (ii) es discuteix, utilitzant el model de Solow i evidència empírica associada, una explicació de la no convergència d’alguns països. La finalitat última d’aquesta pràctica és facilitar l’assimilació del model de Solow a partir d’un procés d’autoaprenentatge que permet a l’estudiant desenvolupar competències transversals tals com el coneixement de bases de dades, la utilització de…

Unconditional Basis and Gordon–Lewis Constants for Spaces of Polynomials

2001

Abstract No infinite dimensional Banach space X is known which has the property that for m ⩾2 the Banach space of all continuous m -homogeneous polynomials on X has an unconditional basis. Following a program originally initiated by Gordon and Lewis we study unconditionality in spaces of m -homogeneous polynomials and symmetric tensor products of order m in Banach spaces. We show that for each Banach space X which has a dual with an unconditional basis ( x * i ), the approximable (nuclear) m -homogeneous polynomials on X have an unconditional basis if and only if the monomial basis with respect to ( x * i ) is unconditional. Moreover, we determine an asymptotically correct estimate for the …

Unconditionally convergent multipliers and Bessel sequences

2016

Abstract We prove that every unconditionally summable sequence in a Hilbert space can be factorized as the product of a square summable scalar sequence and a Bessel sequence. Some consequences on the representation of unconditionally convergent multipliers are obtained, thus providing positive answers to a conjecture by Balazs and Stoeva in some particular cases.

Drivers of Agglomeration: geography VS. History

2009

This paper focuses on the influence of two classical drivers of population agglomeration: geography and history. Geography is identified by two co-ordinates: coastal position and altitude. The prominence of history is also captured by two characteristics: the initial size of the municipalities, and their status as the administrative centre of the area. In first instance we examine localization patterns, at a small geographical scale, according to these characteristics and present empirical evidence of the progressive population concentration along the coast, on the plains and in the regional (provincial) capitals; a process that has not finished in the present days. Next, we show that both …

Existence of Unconditional Bases in Spaces of Polynomials and Holomorphic Functions

2002

Our main result shows that every Montel Kothe echelon or coechelon space E of order 1 < p ≤ ∞ is nuclear if and only if for every (some) m ≥ 2 the space ((mE), τ0) of m-homegeneus polynomials on E endowed with the compact-open topology τ0 has an unconditional basis if and only if the space (ℋ(E), τδ) of holomorphic functions on E endowed with the bornological topology τδ associated to τ0 has an unconditional basis (for coechelon spaces τδ equals τ0). The main idea is to extend the concept of the Gordon-Lewis property from Banach to Frechet and (DF) spaces. In this way we obtain techniques which are used to characterize the existence of unconditional basis in spaces of m-th (symmetric) tenso…

Productivity Polarization and Sectoral Dynamics in European Regions

2007

Abstract We show that the distribution dynamics of productivity in European regions displays polarization with a nonlinear growth path. We investigate the factors explaining this behavior focusing in particular on sectoral composition. The β -convegence analysis reveals that initial shares of Manufacturing and Other Market Services have a nonlinear impact on growth, while spatial effects are not statistically significant. By decomposing the dynamics of aggregate productivity in terms of sectoral dynamics, we show that productivity in Manufacturing, Non Market Services, and Other Market Services does not converge, for the complex interaction of technological spillovers and specialization eff…