Multiplicatively badly approximable matrices in fields of power series

Lê, Thái; Vaaler, Jeffrey

doi:10.1090/S0002-9939-2015-12570-1

Multiplicatively badly approximable matrices in fields of power series
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by Thái Hoàng Lê and Jeffrey D. Vaaler PDF

Proc. Amer. Math. Soc. 143 (2015), 3791-3800 Request permission

Abstract:

We study the notion of multiplicatively badly approximable matrices in the field of a Laurent series with coefficients in a field $K$. We prove a transference principle in this setting, and show that such matrices exist when $K$ is infinite.

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