On Exact Values of n-Widths in a Hilbert Space
✍ Scribed by Georgii G Magaril-Il'yaev; Konstantin Yu Osipenko; Vladimir M Tikhomirov
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 178 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
In this paper we find some exact values of \(n\)-widths in the integral metric with the Chebyshev weight function for the classes of functions that are bounded and analytic or harmonic in the interior of the ellipse with foci \(\pm 1\) and sum of semiaxes \(c\). We also construct optimal quadrature
Every non-reflexive subspace of K(H), the space of compact operators on a Hilbert space H, contains an asymptotically isometric copy of c 0 . This, along with a result of Besbes, shows that a subspace of K(H) has the fixed point property if and only if it is reflexive.
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