On Sub-Gaussianity in Banach Spaces

Authors

  • George Giorgobiani Muskhelishvili Institute of Computational Mathematics of the Georgian Technical University
  • Vakhtang Kvaratskhelia Muskhelishvili Institute of Computational Mathematics of the Georgian Technical University
  • Vazha Tarieladze Muskhelishvili Institute of Computational Mathematics of the Georgian Technical University

DOI:

https://doi.org/10.62232/barp.10.2025.10611

Abstract

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.

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Published

2025-12-12

How to Cite

Giorgobiani, G., Kvaratskhelia, V., & Tarieladze, V. (2025). On Sub-Gaussianity in Banach Spaces. Business Administration Research Papers, 10. https://doi.org/10.62232/barp.10.2025.10611

Issue

Vol. 10 (2025): Applications of Stochastic Processes and Mathematical Statistics to Financial Economics and Social Sciences X

Section

Conference Materials