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Entropy numbers and lattice arrangements in l∞ (Γ)

✍ Scribed by Christian Richter; Michael Stehling

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
171 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis

Dedicated to Prof. Dr. Johannes Böhm on the occasion of his 85th birthday

The Banach spaces l∞(Γ) admit tilings by balls of equal size that are arranged along a lattice. We present classes of bounded sets in spaces l∞(Γ) whose optimal packings and covers in the sense of inner and outer metric entropy numbers are realized by lattice arrangements.

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