Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (3): 309-313.
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Abstract:
The main result of this paper is that stable Banach space with an unconditional monotone Schauder basis is reflexive if and only if it has the fixed point property.
Key words: Ｎｏｎｅｘｐａｎｓｉｖｅｍａｐｐｉｎｇ, ＳｔａｂｌｅＢａｎａｃｈｓｐａｃｅ, Ｆｉｘｅｄｐｏｉｎｔ, Ｕｌｔｒａｐｒｏｄｕｃｔ
CLC Number:
Hu Changsong. The Fixed Point Property of Stable Banach Spaces with An Unconditional Schauder Basis[J].Acta mathematica scientia,Series A, 2000, 20(3): 309-313.
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URL: http://actams.apm.ac.cn/sxwlxbA/EN/
http://actams.apm.ac.cn/sxwlxbA/EN/Y2000/V20/I3/309
１ ＤｏｗｌｉｎｇＰＮ，ＬｅｎｎａｒｄＣＪ．ＥｖｅｒｙｎｏｎｒｅｆｌｅｘｉｖｅｓｕｂｓｐａｃｅｏｆＬ１［０，１］ｆａｉｌｓｔｈｅｆｉｘｅｄｐｏｉｎｔｐｒｏｐｅｒｔｙ．ＰｒｏｃＡｍｅｒＭａｔｈＳｏｃ，１９９７，１２５（２）：４４３－４４６ ２ ＭａｕｒｅｙＢ．ＰｏｉｎｔｓｆｉｘｅｓｄｅｓｃｏｎｔｒａｃｔｉｏｎｓｄｅｃｅｒｔａｉｎｓｆａｉｂｌｅｍｅｎｔｃｏｍｐａｃｔｓｄｅL1 ．Ｓｅｍｉｎａｉｒｅｄ＇ＡｎａｌｙｓｅＦｏｎｃｔｉｏｎｅｌｌｅＥｘｐｏｓｅｎｏⅧ ＥｃｏｌｅＰｏｌｙｔｅｃｈｎｉｑｕｅＣｅｎｔｒｅｄｅＭａｔｈｅｍａｔｉｑｕｅｓ．１９８０－１９８１ ３ ＧａｒｌｉｎｇＤＪＨ．ＳｔａｂｌｅＢａｎａｃｈｓｐａｃｅ，ｒａｎｄｏｍ ｍｅａｓｕｒｅｓａｎｄＯｒｌｉｃｚｆｕｎｃｔｉｏｎｓｐａｃｅｓ，ＬｅｃｔｕｒｅＮｏｔｅｓｉｎＭａｔｈｅｍａｔｉｃｓ９２８，ＢｅｒｌｉｎＨｅｉｄｅｌｂｅｒｇＮｅｗ Ｙｏｒｋ：ＳｐｒｉｎｇｅｒＶｅｒｌａｇ，１９８２ ４ ＬｉｎＰＫ．Ｕｎｃｏｎｄｉｔｉｏｎａｌｂａｓｅｓａｎｄｆｉｘｅｄｐｏｉｎｔｓｏｆｎｏｎｅｘｐａｎｓｉｖｅｍａｐｐｉｎｇｓ．ＰａｃＪＭａｔｈ，１９８５，１１６：６９－７５ ５ ＫａｒｌｏｖｉｔｚＬＡ．Ｅｘｉｓｔｅｎｃｅｏｆｆｉｘｅｄｐｏｉｎｔｓｆｏｒｎｏｎｅｘｐａｎｓｉｖｅｍａｐｐｉｎｇｓｉｎｓｐａｃｅｗｉｔｈｏｕｔｎｏｒｍａｌｓｔｒｕｃｔｕｒｅ．ＰａｃＪＭａｔｈ，１９７６，６６：１５３－１５９
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