数学物理学报(英文版) ›› 1989, Vol. 9 ›› Issue (1): 27-32.
王日生
Wang Risheng
摘要： In this paper we've proved that if X is a uniformly smooth Banach space, then the IAP (isometric approximation problem)on the space B(X, l∞(Γ)) for some infinite index set Γ is affirmative if and only if dimX=l or ∞. Particularly the IAP on spaces B(lp, m) and B(Lp[0, 1], m) are affirmative(1 < p < ∞).