Advanced Queueing Model of a Multiprocessor Computing System
Keywords:
Sub-Gaussian random variable, Gaussian random variable, weakly sub- Gaussian random element, T−sub-Gaussian random element, Banach space, Hilbert spaceAbstract
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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Copyright (c) 2024 George Giorgobiani, Vakhtang Kvaratskhelia and Vazha Tarieladze
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