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Norm attaining bilinear forms on the plane with the l1-norm Cover

Norm attaining bilinear forms on the plane with the l1-norm

By: Sung Guen Kim  
Open Access
|Nov 2022

References

  1. [1] R. M. Aron, C. Finet and E. Werner, Some remarks on norm-attaining n-linear forms, Function spaces (Edwardsville, IL, 1994), 19–28, Lecture Notes in Pure and Appl. Math., 172, Dekker, New York, 1995.
  2. [2] E. Bishop and R. Phelps, A proof that every Banach space is subreflexive, Bull. Amer. Math. Soc. 67 (1961), 97–98.10.1090/S0002-9904-1961-10514-4
  3. [3] Y. S. Choi and S. G. Kim, Norm or numerical radius attaining multilinear mappings and polynomials, J. London Math. Soc. (2) 54 (1996), 135–147.10.1112/jlms/54.1.135
  4. [4] S. Dineen, Complex Analysis on Infinite Dimensional Spaces, Springer-Verlag, London, 1999.10.1007/978-1-4471-0869-6
  5. [5] M. Jimenez Sevilla and R. Paya, Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces, Studia Math. 127 (1998), 99–112.10.4064/sm-127-2-99-112
  6. [6] S. G. Kim, Explicit norm attaining polynomials, Indian J. pure appl. Math. 34 (2003), 523–527.
Language: English
Page range: 115 - 124
Submitted on: May 31, 2021
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Published on: Nov 18, 2022
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2022 Sung Guen Kim, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.