On series of free R-diagonal operators

2013/08/24 by Hari Bercovici, Bercovici, Hari, Ping Zhong +1
Mathematics · #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical functions and polynomials #Probability (math.PR) #math.FA #math.PR

paper · pdf · doi:10.48550/arxiv.1308.5293

8 pages

arxiv created 2013/08/24 · openalex publication_date 2013/08/24 · arxiv updated 2013/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a series of free R-diagonal operators, we prove an analogue of the three series theorem. We show that a series of free R-diagonal operators converges almost uniformly if and if two numerical series converge.

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