Abstract

In this paper we prove that\(d_n = d^n = \delta _n = \left\| {Ax^\circ } \right\|_p \) (1<p<+∞), give the characteristics of xo and the optimal subspace for n-width dn in space X=l n N . Where dn in the n-width, in the sense of Kolmogorov, ofD in X, dn is the n-width ofD with respect to X, in the sense of Gel'fand, δ is the linear n-width ofD with respect to X.

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