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On series of free $R$-diagonal operators

Functional Analysis 2013-08-27 v1 Probability

Abstract

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

Cite

@article{arxiv.1308.5293,
  title  = {On series of free $R$-diagonal operators},
  author = {Hari Bercovici and Ping Zhong},
  journal= {arXiv preprint arXiv:1308.5293},
  year   = {2013}
}

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8 pages