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Generalized elements of best approximation
L. P. Vlasov Institute of Mathematics and Mechanics, Ural Scientific Center of the AS of USSR
Abstract:
It is proved that generalized elements of best approximation (GEBA's) are approximated by minimizing nets in the $\sigma(X^{**},X^*)$ topology. Criteria for GEBA's are established. GEBA's are considered in $\Gamma^*$ where $\Gamma$ is a 1-normalizing subspace of $X^*$.
Received: 11.07.1975
Citation:
L. P. Vlasov, “Generalized elements of best approximation”, Mat. Zametki, 19:4 (1976), 513–523; Math. Notes, 19:4 (1976), 314–319
Linking options:
https://www.mathnet.ru/eng/mzm7769 https://www.mathnet.ru/eng/mzm/v19/i4/p513
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Abstract page: | 198 | Full-text PDF : | 82 | First page: | 1 |
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