Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces

 Access to full text

 Full (PDF)

1. [1] M. D. Acosta, F. J. Aguirre and R. Payá, There is no bilinear Bishop-Phelps Theorem, Israel J. Math. 93 (1996), 221-227. Zbl0852.46010
2. [2] M. D. Acosta, F. J. Aguirre and R. Payá, A space by W. Gowers and new results on norm and numerical radius attaining operators, Acta Univ. Carolin. Math. Phys. 33 (1992), 5-14. Zbl0786.47002
3. [3] F. J. Aguirre, Algunos problemas de optimización en dimensión infinita: aplicaciones lineales y multilineales que alcanzan su norma, Tesis Doctoral, Universidad de Granada, 1995. 
4. [4] Z. Altshuler, P. G. Casazza and B.-L. Lin, On symmetric basic sequences in Lorentz sequence spaces, Israel J. Math. 15 (1973), 140-155. Zbl0264.46011
5. [5] R. Aron, C. Finet and E. Werner, Some remarks on norm attaining N-linear forms, in: Function Spaces, K. Jarosz (ed.), Lecture Notes in Pure and Appl. Math. 172, Marcel Dekker, New York, 1995, 19-28. Zbl0851.46008
6. [6] E. R. Bishop and R. R. Phelps, A proof that every Banach space is subreflexive, Bull. Amer. Math. Soc. 67 (1961), 97-98. Zbl0098.07905
7. [7] P. G. Casazza and B.-L. Lin, On symmetric sequences in Lorentz sequence spaces II, Israel J. Math. 17 (1974), 191-218. Zbl0286.46019
8. [8] Y. S. Choi, Norm attaining bilinear forms on $L_1[0,1]$, J. Math. Anal. Appl., to appear. Zbl0888.46007
9. [9] Y. S. Choi and S. G. Kim, Norm or numerical radius attaining multilinear mappings and polynomials, J. London Math. Soc. 54 (1996), 135-147. Zbl0858.47005
10. [10] V. Dimant and S. Dineen, Banach subspaces of spaces of holomorphic functions and related topics, preprint. Zbl0935.46048
11. [11] V. Dimant and I. Zalduendo, Bases in spaces of multilinear forms over Banach spaces, J. Math. Anal. Appl. 200 (1996), 548-566. Zbl0867.46006
12. [12] D. J. H. Garling, On symmetric sequence spaces, Proc. London Math. Soc. 16 (1966), 85-106. Zbl0136.10701
13. [13] R. Gonzalo and J. A. Jaramillo, Compact polynomials between Banach spaces, Extracta Math. 8 (1993), 42-48. Zbl1016.46503
14. [14] W. T. Gowers, Symmetric block bases of sequences with large average growth, Israel J. Math. 69 (1990), 129-151. Zbl0721.46010
15. [15] P. Harmand, D. Werner and W. Werner, M-Ideals in Banach Spaces and Banach Algebras, Lecture Notes in Math. 1547, Springer, Berlin, 1993. Zbl0789.46011
16. [16] H. Knaust, Orlicz sequence spaces of Banach-Saks type, Arch. Math. (Basel) 59 (1992), 562-565. Zbl0735.46009
17. [17] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I, Springer, 1977. Zbl0362.46013
18. [18] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces II, Springer, 1979. Zbl0403.46022
19. [19] S. Reisner, A factorization theorem in Banach lattices and its applications to Lorentz spaces, Ann. Inst. Fourier (Grenoble) 31 (1) (1981), 239-255. Zbl0437.46025
20. [20] W. L. C. Sargent, Some sequence spaces related to the $l_p$ spaces, J. London Math. Soc. 35 (1960), 161-171. Zbl0090.03703
21. [21] A. E. Tong, Diagonal submatrices of matrix maps, Pacific J. Math. 32 (1970), 551-559. Zbl0194.06103

1. Jesús Castillo, Ricardo García, Raquel Gonzalo, Banach spaces in which all multilinear forms are weakly sequentially continuous
2. Maria Acosta, On multilinear mappings attaining their norms.