Abstract
It is proved that generalized elements of best approximation (GEBA's) are approximated by minimizing nets in theσ(X**, X*) topology. Criteria for GEBA's are established. GEBA's are considered inΓ * where Γ is a 1-normalizing subspace of X*.
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Translated from Matematicheskie Zametki, Vol. 19, No. 4, pp. 513–523, April, 1976.
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Vlasov, L.P. Generalized elements of best approximation. Mathematical Notes of the Academy of Sciences of the USSR 19, 314–319 (1976). https://doi.org/10.1007/BF01156789
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DOI: https://doi.org/10.1007/BF01156789