Object structure

Publication Details:

This issue of the Periodical is dedicated to the 85-th anniversary of Hrant B. Marandjian,Doctor of Physical and Mathematical Sciences, Professor, Corresponding Member of NAS RA, Academician of the Russian Academy of Natural Sciences.

Journal or Publication Title:

Математические вопросы кибернетики и вычислительной техники=Կիբեռնետիկայի և հաշվողական տեխնիկայի մաթեմատիկական հարցեր=Mathematical problems of computer science

Date of publication:

2024

Volume:

62

ISSN:

2579-2784 ; e-2538-2788

Additional Information:

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Title:

On Sub-Gaussianity in Banach Spaces

Creator:

Giorgobiani, George J. ; Kvaratskhelia, Vakhtang V. ; Tarieladze, Vazha I.

Subject:

Mathematical Sciences

Uncontrolled Keywords:

Sub-Gaussian random variable ; Gaussian random variable ; weakly sub- Gaussian random element ; T−sub-Gaussian random element ; Hilbert space ; Banach space

Coverage:

52-58

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.

Publisher:

Изд-во НАН РА

Type:

Հոդված

Format:

pdf

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան