Properly semi-L-embedded complex spaces
Volume 106 / 1993
Studia Mathematica 106 (1993), 197-202
DOI: 10.4064/sm-106-2-197-202
Abstract
We prove the existence of complex Banach spaces X such that every element F in the bidual X** of X has a unique best approximation π(F) in X, the equality ∥F∥ = ∥π (F)∥ + ∥F - π (F)∥ holds for all F in X**, but the mapping π is not linear.
