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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 315641, 10 pages
http://dx.doi.org/10.1155/2014/315641
Research Article

Norm Attaining Arens Extensions on

1Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA
2Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, Burjasot, 46100 Valencia, Spain

Received 23 December 2013; Accepted 6 February 2014; Published 8 April 2014

Academic Editor: Miguel Martín

Copyright © 2014 Javier Falcó et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. E. Bishop and R. R. Phelps, “A proof that every Banach space is subreflexive,” Bulletin of the American Mathematical Society, vol. 67, pp. 97–98, 1961. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. J. Lindenstrauss, “On operators which attain their norm,” Israel Journal of Mathematics, vol. 1, pp. 139–148, 1963. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. R. M. Aron, C. Finet, and E. Werner, “Some remarks on norm-attaining n-linear forms,” in Function Spaces, vol. 172 of Lecture Notes in Pure and Applied Mathematics, pp. 19–28, Dekker, New York, NY, USA, 1995. View at Google Scholar · View at MathSciNet
  4. M. D. Acosta, F. J. Aguirre, and R. Payá, “There is no bilinear Bishop-Phelps theorem,” Israel Journal of Mathematics, vol. 93, pp. 221–227, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. M. D. Acosta, “On multilinear mappings attaining their norms,” Studia Mathematica, vol. 131, no. 2, pp. 155–165, 1998. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. R. M. Aron, D. García, and M. Maestre, “On norm attaining polynomials,” Research Institute for Mathematical Sciences, vol. 39, no. 1, pp. 165–172, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. M. D. Acosta, D. García, and M. Maestre, “A multilinear Lindenstrauss theorem,” Journal of Functional Analysis, vol. 235, no. 1, pp. 122–136, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. R. Arens, “The adjoint of a bilinear operation,” Proceedings of the American Mathematical Society, vol. 2, pp. 839–848, 1951. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. R. M. Aron and P. D. Berner, “A Hahn-Banach extension theorem for analytic mappings,” Bulletin de la Société Mathématique de France, vol. 106, no. 1, pp. 3–24, 1978. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. A. M. Davie and T. W. Gamelin, “A theorem on polynomial-star approximation,” Proceedings of the American Mathematical Society, vol. 106, no. 2, pp. 351–356, 1989. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. P. Harmand, D. Werner, and W. Werner, M-Ideals in Banach spaces and Banach Algebras, vol. 1547 of Lecture Notes in Mathematics, Springer, Berlin, Germany, 1993. View at MathSciNet