On Sub-Gaussianity in Banach Spaces

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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

ანოტაცია

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.

გამოქვეყნებული: დეკ 12, 2025
DOI: https://doi.org/10.62232/barp.10.2025.10611

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როგორ უნდა ციტირება
Giorgobiani, G., Kvaratskhelia, V., & Tarieladze, V. (2025). On Sub-Gaussianity in Banach Spaces. ბიზნესის ადმინისტრირება, სამეცნიერო შრომების კრებული, 10(b). https://doi.org/10.62232/barp.10.2025.10611
გამოცემა
ტომ. 10 No. b (2025): Applications of Stochastic Processes and Mathematical Statistics to Financial Economics and Social Sciences Xb
სექცია
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