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arxiv: 1308.5293 · v1 · pith:LRX23TY3new · submitted 2013-08-24 · 🧮 math.FA · math.PR

On series of free R-diagonal operators

classification 🧮 math.FA math.PR
keywords seriesdiagonalfreeoperatorsalmostanalogueconvergeconverges
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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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