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Total positivity and the exact<i>n</i>-width of certain sets in<i>L</i><sup>1</sup>

Total positivity and the exact<i>n</i>-width of certain sets in<i>L</i><sup>1</sup>

In this paper we obtain the exact value of the L 1 nwidth, both in the sense of Kolmogorov and GeΓfand, and characterize optimal subspaces for the set, a r )eR', \\h\U g ll Jo Junder certain total positivity assumptions onVcΛt), '-,kΛt), K(t,s)}.