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The duality of certain non-convex extremal problems

โœ Scribed by V.N. Solov'yev

Publisher
Elsevier Science
Year
1987
Weight
352 KB
Volume
27
Category
Article
ISSN
0041-5553

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Extremal Problems for the Vector-Valued
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โœ Wolfgang Hensgen ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 473 KB

Let X be a complex Banach space and L 1 (X ) :=L 1 (T; X) the Bochner space on the circle T. The X-valued Hardy space , extremal kernels and functions for this duality are studied. Proximinality fails for X :=L 1 ร‚H 1 0 ; this is equivalent to the assertion that for 4 := N\_Z \_ Z\_N, L 1 4 (T 2 )