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An extension of Lorentz's almost convergence and applications in Banach spaces

Mercourakis, S.Vassiliadis, G. — 2006

Serdica Mathematical Journal

2000 Mathematics Subject Classification: Primary 40C99, 46B99. We investigate an extension of the almost convergence of G. G. Lorentz requiring that the means of a bounded sequence converge uniformly on a subset M of N. We also present examples of sequences α∈ l∞(N) whose sequences of translates (Tn α)n≥ 0 (where T is the left-shift operator on l∞(N)) satisfy: (a) Tn α, n ≥ 0 generates a subspace E(α) of l∞(N) that is isomorphically embedded into c0 while α is not almost convergent. ...

Isometric embeddings of a class of separable metric spaces into Banach spaces

Sophocles K. MercourakisVassiliadis G. Vassiliadis — 2018

Commentationes Mathematicae Universitatis Carolinae

Let ( M , d ) be a bounded countable metric space and c > 0 a constant, such that d ( x , y ) + d ( y , z ) - d ( x , z ) c , for any pairwise distinct points x , y , z of M . For such metric spaces we prove that they can be isometrically embedded into any Banach space containing an isomorphic copy of .

MLE for the γ-order Generalized Normal Distribution

Christos P. KitsosVassilios G. VassiliadisThomas L. Toulias — 2014

Discussiones Mathematicae Probability and Statistics

The introduced three parameter (position μ, scale ∑ and shape γ) multivariate generalized Normal distribution (γ-GND) is based on a strong theoretical background and emerged from Logarithmic Sobolev Inequalities. It includes a number of well known distributions such as the multivariate Uniform, Normal, Laplace and the degenerated Dirac distributions. In this paper, the cumulative distribution, the truncated distribution and the hazard rate of the γ-GND are presented. In addition, the Maximum Likelihood...

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