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On the continuity properties of the Lp balls
(Walter de Gruyter GmbH, 11.04.2023)
In this paper the right upper semicontinuity at p = 1 and continuity at p = ∞ of the set-valued map
p → B_{\Omega,X,p}(r), p ∈ [1,∞], are studied where B_{\Omega,,X,p}(r) is the closed ball of the space L_p(\Omega, Σ, ...