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Banach空间B-正交的推广

An Extension of B-Orthogonality in Banach Space
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摘要 在实Banach空间中,xB-正交于y,记作x⊥By,本文将其推广为非常正交,并讨论了它的一些性质. B-orthogonality in real Banach space was extended to the very orthogonality,and discussed the very orthogonality in Banach space.
出处 《吉林师范大学学报(自然科学版)》 2008年第2期32-33,共2页 Journal of Jilin Normal University:Natural Science Edition
基金 广东省高校自然科学基金重点项目(05Z026)
关键词 B-正交 非常正交 BANACH空间 B-Orthogonality very Orthogonality Banach spaces
  • 相关文献

参考文献9

  • 1Alber Ya I.James orthogonality and orthogonal decompositions of Banach spaces[J].J.Math.Anal.Appl.2005,312(1):330-342.
  • 2Sundaresan K.Orthogonality and nonlinear functionals on Banach spaces[J].Proc.Amer.Math.Soc.1972,34:187-190.
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二级参考文献7

  • 1ALBER YA I. James orthogonality and orthogonal decompositions of Banach spaces [ J ]. J Math Anal Appl, 2005,312( 1 ) :330 -342.
  • 2CHEN S, HUDZIK H, WANG Y. Orthogonally complemented hyperplanes in Orlicz function spaces [ C ]. Comment. Math. Prace Mat. Tomus specialis in Honorem Juliani Musielak,2004,71 - 82.
  • 3MAZAHERI H,VAEZPOUR S M. Orthogonality and ε- Orthogonality in Banach spaces [ J ], Aust J Math Anal Appl,2005,2( 1 ) :5.
  • 4MAZAHERI H, MAALEK GHAINI F M. Quasi - orthogonality of the best approximant sets [ J ]. Nonlinear Anal, 2006,65(3) :534 -537.
  • 5SHOJA A, MAZAHERI H. General orthogonality in Banach spaces [J]. Int J Math Anal,2007,1 (9- 12):553 - 556.
  • 6SUNDARESAN K. Orthogonality and nonlinear functionals on Banach spaces [ J ]. Proc Amer Math Soc, 1972,34: 187 - 190.
  • 7BIRKHOFF G. Orthogonality in linear metric spaces [ J ]. Duke Math J, 1935,1 : 169 - 172.

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