Some properties of noncommutative $H^ 1$ spaces
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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.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 465-472
- MSC: Primary 47B10; Secondary 46A32, 47D15
- DOI: https://doi.org/10.1090/S0002-9939-1991-1045585-4
- MathSciNet review: 1045585