TY - JOUR
A2 - Sawano, Yoshihiro
AU - Pakhrou, Tijani
PY - 2017
DA - 2017/07/12
TI - Best -Simultaneous Approximation in
SP - 7347130
VL - 2017
AB - Let X be a Banach space. Let 1≤p<∞ and denote by Lp(μ,X) the Banach space of all X-valued Bochner p-integrable functions on a certain positive complete σ-finite measure space (Ω,Σ,μ), endowed with the usual p-norm. In this paper, the theory of lifting is used to prove that, for any weakly compact subset W of X, the set Lp(μ,W) is N-simultaneously proximinal in Lp(μ,X) for any arbitrary monotonous norm N in Rn.
SN - 2314-8896
UR - https://doi.org/10.1155/2017/7347130
DO - 10.1155/2017/7347130
JF - Journal of Function Spaces
PB - Hindawi
KW -
ER -