ScholarLens Back to search
2001•Theory of Probability and Its ApplicationsRequires access

Unconditional Convergence of Gaussian Random Series in Banach Spaces

Vakhtang Kvaratskhelia

Open publisher page 2 citations

Abstract

A sufficient condition is given for the a.s. unconditional convergence of Gaussian series in Banach spaces with unconditional bases not containing $l^n_\infty$'s uniformly. By the a.s. unconditional convergence of random series we understand the convergence of all rearrangements of the series on the same set of total probability.

About this research paper

What this paper is about

A sufficient condition is given for the a.s. unconditional convergence of Gaussian series in Banach spaces with unconditional bases not containing $l^n_\infty$'s uniformly. By the a.s. unconditional convergence of random series we understand the convergence of all rearrangements of the series on the same set of total probability.

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

A sufficient condition is given for the a.s. unconditional convergence of Gaussian series in Banach spaces with unconditional bases not containing $l^n_\infty$'s uniformly. By the a.s. unconditional convergence of random series we understand the convergence of all rearrangements of the series on the same set of total probability.

Key concepts: Mathematics, Banach space, Unconditional convergence, Series (stratigraphy), Convergence (economics), Gaussian, Convergence of random variables, Modes of convergence (annotated index)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Unconditional Convergence of Gaussian Random Series in Banach Spaces — Research Paper | ScholarLens