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arXiv · 2204.01896

Brown measure of $R$-diagonal operators, revisited

Ping Zhong
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Abstract

We use subordination functions perspective to reformulate Haagerup--Schultz's approach for the Brown measure of $R$-diagonal operators. This allows us to simplify the original argument and find a connection with the other approach due to Belinschi-\'{S}niady-Speicher. The Brown measure formula can be rewritten in terms of subordination functions.

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Ping Zhong. 2022-04-04. Brown measure of $R$-diagonal operators, revisited. https://arxiv.org/abs/2204.01896

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