Best approximation in Köthe-Bochner spaces. (English) Zbl 1393.41009
Summary: We give sufficient conditions for the best approximation of convex, bounded, closed and solid sets in Köthe-Bochner spaces and apply this result to sequence spaces.
MSC:
| 41A50 | Best approximation, Chebyshev systems |
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
| 54C35 | Function spaces in general topology |
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