Sharp lower estimates for the Jung constant J(E) in Banach lattices E satisfying an upper p-estimate and a lower q-estimate are given. Moreover, the minimal value of J(E) with respect to equivalent renormings of E is calculated in E = Lp,q for finite p and q, as well as in more general spaces E. Finally, a nontrivial estimate for the radius rLp,∞(A) is obtained for A being a bounded sequence of disjointly supported functions in Lp,∞.
Estimates for the Jung constant in Banach lattices / J. APPELL; C. FRANCHETTI; E. SEMENOV. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - STAMPA. - 116:(2000), pp. 171-187. [10.1007/BF02773217]
Estimates for the Jung constant in Banach lattices
FRANCHETTI, CARLO;
2000
Abstract
Sharp lower estimates for the Jung constant J(E) in Banach lattices E satisfying an upper p-estimate and a lower q-estimate are given. Moreover, the minimal value of J(E) with respect to equivalent renormings of E is calculated in E = Lp,q for finite p and q, as well as in more general spaces E. Finally, a nontrivial estimate for the radius rLp,∞(A) is obtained for A being a bounded sequence of disjointly supported functions in Lp,∞.File in questo prodotto:
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