BMT 独立

IF 1.7 2区数学 Q1 MATHEMATICS Journal of Functional Analysis Pub Date : 2024-10-23 DOI:10.1016/j.jfa.2024.110712

Octavio Arizmendi , Saul Rogelio Mendoza , Josue Vazquez-Becerra

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引用次数: 0

摘要

我们引入了 BMT 独立性概念，从而能够研究布尔、单调和张量独立性的任意混合，并推广了 J. Wysoczanski 的 BM 独立性概念。我们还提供了相应的中心极限定理和泊松型极限定理，以及实现 BMT 独立随机变量作为希尔伯特空间张量乘上有界算子的明确构造。

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BMT independence

We introduce the notion of BMT independence, enabling the study of arbitrary mixtures of Boolean, monotone, and tensor independence and generalizing the notion of BM independence of J. Wysoczanski. pairwise independence relations are encoded through a directed graph, which in turn determines the way mixed moments must be computed. Corresponding Central and Poisson-Type Limit Theorems are provided along with an explicit construction to realize BMT independent random variables as bounded operators on the tensor product of Hilbert spaces.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis

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