Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (2): 172-175.
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Abstract:
This paper proves that the IAP on B(L1(Ω),C(k)) has a negative answer, where dim L1(Ω) is infinite and K is compact.
Key words: ＩｓｏｍｅｔｒｉｃＡｐｐｒｏｘｉｍａｔｉｏｎ, Ｗ-Ｔｏｐｏｌｏｇｙ, ＤｅｃｏｍｐｏｓｉｔｉｏｎＴｈｅｏｒｅｍ
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Zhan Dapeng. The isometric approximation problem from infinite dimension L 1space into continuous function space[J].Acta mathematica scientia,Series A, 1999, 19(2): 172-175.
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URL: http://actams.apm.ac.cn/sxwlxbA/EN/
http://actams.apm.ac.cn/sxwlxbA/EN/Y1999/V19/I2/172
１ ＤｉｎｇＧｕａｎｇｇｕｉ．Ｔｈｅａｐｐｒｏｘｉｍａｔｉｏｎｐｒｏｂｌｅｍ ｏｆａｌｍｏｓｔｉｓｏｍｅｔｒｉｃｏｐｅｒａｔｏｒｓｂｙｉｓｏｍｅｔｒｉｃｏｐｅｒａｔｏｒｓ．Ａｃｔａ ＭａｔｈＳｃｉ，１９８８，８：３６１－３７２ ２ 王日生．空间犅（犔１（Γ），犆（Ω））中的等距逼近问题．科学通报，１９９０，１０：９７５－９７８ ３ ＤｉｎｇＧｕａｎｇｇｕｉ．Ｏｎａｌｍｏｓｔｉｓｏｍｅｔｒｉｅｓｆｒｏｍ犔１（μ）ｉｎｔｏ犔∞ （γ）ｏｒ犆犫（Δ）．ＡｃｔａＭａｔｈＳｃｉ，１９９２，１２：３０８－３１１ ４ ＬａｃｅｙＨ Ｅ．ＴｈｅｉｓｏｍｅｔｒｙｔｈｅｏｒｙｏｆｃｌａｓｓｉｃａｌＢａｎａｃｈｓｐａｃｅｓ．ＳｐｒｉｎｇｅｒＶｅｒｌａｇ，１９７４
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