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Extensions of 2-Homogeneous Polynomials on c_0

Extensions of 2-Homogeneous Polynomials on c_0
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摘要 We prove that every 2-homogeneous polynomial on the complex co has a unique normpreserving extension to its bidual l∞. We prove that every 2-homogeneous polynomial on the complex co has a unique normpreserving extension to its bidual l∞.
作者 Pi-Kee LIN
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第5期877-880,共4页 数学学报(英文版)
关键词 Hahn-Banach extension homogeneous polynomial Hahn-Banach extension, homogeneous polynomial
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参考文献4

  • 1Aron, R., Boyd, C., Choi, Y. S.: Unique Hahn-Banach theorems for spaces homogeneous polynomials. J. Austr. Math. Soc., 70, 387-400 (2001)
  • 2Choi, Y. S., Han, K. H., Song, H. G.: Extensions of polynomials on preduals of Lorentz sequence spaces. Glasgow Math. J., 47, 395-403 (2005)
  • 3Dineen, S.: Complex Analysis on Infinite-dimensional Spaces, Springer-Verlag, London, 1999
  • 4Kaminska, A., Lee, H. J.: On uniqueness of extension of homogeneous polynomials. Houston J. Math., to appear

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