On the volume of unit balls in Banach spaces
Carsten Schütt (1982)
Compositio Mathematica
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Carsten Schütt (1982)
Compositio Mathematica
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S. Kwapień (1972)
Studia Mathematica
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J. A. López Molina, M. J. Rivera (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Stanisław Kwapień, Carsten Schütt (1985)
Studia Mathematica
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Olivier Durieu, Dalibor Volný (2008)
Annales de l'I.H.P. Probabilités et statistiques
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The aim of this paper is to compare various criteria leading to the central limit theorem and the weak invariance principle. These criteria are the martingale-coboundary decomposition developed by Gordin in (1969), the projective criterion introduced by Dedecker in (1998), which was subsequently improved by Dedecker and Rio in (2000) and the condition introduced by Maxwell and Woodroofe in (2000) later improved upon...
Jérôme Dedecker, Emmanuel Rio (2008)
Annales de l'I.H.P. Probabilités et statistiques
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In this paper, we give estimates of the minimal distance between the distribution of the normalized partial sum and the limiting gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions.
A. Pełczyński (1967)
Studia Mathematica
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A. Peris, M. J. Rivera (1996)
Revista Matemática de la Universidad Complutense de Madrid
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The problem of topologies of Grothendieck is considered for complete tensor products of Fréchet spaces endowed with the topology defined by an arbitrary tensor norm. Some consequences on the stability of certain locally convex properties in spaces of operators are also given.