Abstract
Precise orders are given for the Kolmogorov and linear widths of the unit ball of the space $ l_pm$ in the metric of $ l_qm$ for $ q<\infty$. The determination of the upper estimates is based on approximation by random objects. This method goes back to Kashin (Math. USSR Izv. 11 (1977), 317-333). The corresponding lower estimates were obtained in a previous article of the author (Vestnik Leningrad. Univ. Math. 14 (1982), 163-170).
Original language | English |
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Pages (from-to) | 173-182 |
Number of pages | 10 |
Journal | Mathematics of the USSR - Sbornik |
Volume | 48 |
Issue number | 1 |
DOIs | |
State | Published - 28 Feb 1984 |