Acta mathematica scientia,Series B ›› 1989, Vol. 9 ›› Issue (1): 27-32.
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Wang Risheng
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Abstract: 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 < ∞).
Wang Risheng. ISOMETRIC APPROXIMATIONS FROM UNIFORMLY SMOOTH SPACES INTO l∞(Γ) TYPE SPACES[J].Acta mathematica scientia,Series B, 1989, 9(1): 27-32.
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