| ISOMETRIC APPROXIMATIONS FROM UNIFORMLY SMOOTH SPACES INTO l_∞(Ⅰ') TYPE SPACES |
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| 引用本文： | 王日生.ISOMETRIC APPROXIMATIONS FROM UNIFORMLY SMOOTH SPACES INTO l_∞(Ⅰ') TYPE SPACES[J].数学物理学报(B辑英文版),1989(1). |
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| 作者姓名： | 王日生 |
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| 作者单位： | Nankai University |
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| 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 aftirmative if and only if dimX=l or ∞. Particularly the IAP on spaces B(l_p, m) and B(L_p0, 1], m) are affirmative(1
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