The packing constant in rearrangement-invariant spaces. (English. Russian original) Zbl 0947.46013
Funct. Anal. Appl. 32, No. 4, 273-275 (1998); translation from Funkts. Anal. Prilozh. 32, No. 4, 69-72 (1998).
The packing constant in an infinite-dimensional Banach space \(E\) is, roughly speaking, the largest number \(r> 0\) such that infinitely many disjoint balls of radius \(r\) can be located in the unit ball of \(E\). The authors calculate this number in case of some rearrangement-invariant spaces.
Reviewer: H.Triebel (Jena)
MSC:
| 46B20 | Geometry and structure of normed linear spaces |
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
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