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  1. link.springer.com

    We call a \(\gamma \)-sub-Gaussian random element sub-Gaussian in Talagrand's sense or T-sub-Gaussian.In [20, Remark 4] the definition of a \(\gamma \)-sub-Gaussian random element in a Hilbert space is attributed to [].An analogue of Theorem 1 remains true for \(\gamma \)-sub-Gaussian random elements in a Banach space [18, Theorem 3.4].. If \(X=\mathbb R\) then the notion of a T-sub-Gaussian ...
    Author:George Giorgobiani, Vakhtang Kvaratskhelia, Vaja TarieladzePublished:2019
  2. publishing.ug.edu.ge

    Theorem 1.2: (a)If X is finite-dimensional Banach space, then every weakly sub-Gaussian random element in X is T−sub-Gaussian. (b) If X is infinite-dimensional separable Banach space,then there exist a weakly sub-Gaussian random element in X. which is not T−sub-Gaussian. To every weakly sub-Gaussian random element ξ:Ω→X we associate the induced linear operator
  3. link.springer.com

    We give a characterization of weakly subgaussian random elements that are γ-subgaussian in infinite-dimensional Banach and Hilbert spaces. ... "Weakly sub-Gaussian random elements in Banach spaces," Ukr. Mat. Zh., 57, No. 9, 1187-1208 (2005). MathSciNet Google Scholar
    Author:V. Kvaratskhelia, V. Tarieladze, N. VakhaniaPublished:2016
  4. ocw.tudelft.nl

    Random variables in Banach spaces In this lecture we take up the study of random variables with values in a Ba-nach space E. The main result is the Itoˆ-Nisio theorem (Theorem 2.17), which asserts that various modes of convergence of sums of independent symmetric E-valued random variables are equivalent. This result gives us a powerful tool
  5. We show that if X is a Banach space and a weakly sub-Gaussian random element in X induces the 2-summing operator, then it is T−sub-Gaussian, provided that X is a reflexive type 2 space. Using this result, we obtain a characterization of weakly sub-Gaussian random elements in a Hilbert space which are T−sub-Gaussian.
  6. semanticscholar.org

    We give a characterization of weakly subgaussian random elements that are γ-subgaussian in infinite-dimensional Banach and Hilbert spaces. ... {Characterization of $\gamma$-Subgaussian Random Elements in a Banach Space}, author={Vakhtang Kvaratskhelia and V. I. Tarieladze and N. N. Vakhania}, journal={Journal of Mathematical Sciences}, year ...
  7. semanticscholar.org

    We give a characterization of weakly subgaussian random elements that are γ-subgaussian in infinite-dimensional Banach and Hilbert spaces. View on Springer Save to Library Save
  8. researchgate.net

    We give a characterization of weakly subgaussian random elements that are γ-subgaussian in infinite-dimensional Banach and Hilbert spaces. Discover the world's research 25+ million members
  9. link.springer.com

    We give a survey of properties of weakly sub-Gaussian random elements in infinite-dimensional spaces. Some new results and examples are also given. ... Weakly Sub-Gaussian Random Elements in Banach Spaces Download PDF. N. N ... Characterization of γ-Subgaussian Random Elements in a Banach Space
  10. researchgate.net

    Jun 26, 2024We present without proof the following result: if X is a Banach space and a weakly sub-Gaussian random element in X induces the 2-summing operator, then it is T−sub-Gaussian provided that X is a ...

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