On Sub-Gaussianity in Banach Spaces
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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.
Published:
Dec 12, 2025
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Giorgobiani, G., Kvaratskhelia, V., & Tarieladze, V. (2025). On Sub-Gaussianity in Banach Spaces. Business Administration Research Papers, 10(b). https://doi.org/10.62232/barp.10.2025.10611
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