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Banach空间的凸性模与正规结构(英文) 被引量:2

Modulus of Convexity and Normal Structure in Banach Space
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摘要 令X是Banach空间,根据凸性U-模与凸性W*-模和弱正交系数之间的关系来证明Banach空间X具有正规结构.由此加强了一些已知的结论. Let X be a Banach space. We present some sufficient conditions for which a Banach space X has normal structure by using the modulus of U - convexity, modulus of W^* - convexity and the coefficient of weak orthogonality
出处 《哈尔滨理工大学学报》 CAS 北大核心 2009年第2期26-29,共4页 Journal of Harbin University of Science and Technology
基金 supported by overseas fundation of Heilongjiang provience(10571037)
关键词 凸性U-模 凸性W*-模 弱正交系数 一致正规结构 不动点 modulus of U-convexity uniform normal structure fixed point
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  • 1GAO J. Normal Structure and Modulus of U-convexity in Banach space[ C ]//Function Spaces, Differential Operators and Nonlinear Analysis, New York, 1996 : 195 - 199.
  • 2GAO J. The W * -convexity and Normal Structure in Banach Spaces [ J]. Appl. Math. Lett., 2004,17 : 1381 - 1386.
  • 3GAO J. On Some Geometric Parameters in Banach spaces [ J ],J. Math. Anal. Appl. ,2007,1:114 - 122.
  • 4GAO J. A Pythagorean Approach in banach Space[J]. J. Inequal. Appl., (2006), Article ID 94982.
  • 5GOEBEL K, DIRK W A. Topices in Metric Fixed Point Theory [ M]. Cambridge:Cambridge Univ. Press, 1990.
  • 6JIMEBEL-MELADO A, LLORENS-FUSTER E,SAEJUNG S. The Von Neuman-jordan Constant, Weak Orthogonality and Normal Structure in Banach Spaces [ J ]. Rroc. Amer. Math. Soc. , 2006, 134(2) :355 -364.
  • 7DATO M, MALIGEANDA L, TAKAHASHI Y. On James and Jordan-yon Neumann Costants and The Normal Structure Coefficient of Banach Space[ J]. Studia Math. ,2001,144:275 - 295.
  • 8KIRK W A. A Fixed Point Theorem for Mappings which Do not Increase distances [ J ]. Amer. Math. Monthly, 1965, 72:1004 - 1006.
  • 9MAZCUAN-NAVARRO E M. Banach Spaces Properties Sufficient for Normal Structure [ J ]. J. Math. Anal. Appl. , 2008,337 : 197 -218.
  • 10SAEJUNG S. On the Modulus of U-convexity[ J]. Abstract and Applied Analysis, 2005,1 : 59 - 66.

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