Some properties of noncommutative 𝐻¹ spaces

Arias, Alvaro

doi:10.1090/S0002-9939-1991-1045585-4

Some properties of noncommutative $H^ 1$ spaces
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Proc. Amer. Math. Soc. 112 (1991), 465-472 Request permission

Abstract:

In this paper it is proved that every $T$ in the trace class operators, ${c_1}$, has a unique best approximant from $\Delta$, the set of upper triangular matrices in ${c_1}$; and that ${c_1}/\Delta$ is weakly sequentially complete.

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