Renorming of C(K) spaces

Proceedings of the American Mathematical Society

Volumn 131, Issue 7, 2003, Pages 2063-2070

  Rychtář, Jan ^a,b  

^a CHARLES UNIVERSITY   (Czech Republic)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Eberlein compacts; Uniform rotundity in every direction

Indexed keywords

EID: 0037790908     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-03-07001-1     Document Type: Conference Paper

References (14)

1. K. Alster, Some remarks on Eberlein compacts, Fundamenta Mathematicae 104 (1979), 43-46. MR 80k:54035
2. S. Argyros and V. Farmaki, On the structure of weakly compact subsets of Hubert spaces and applications to the geometry of Banach spaces, Trans. Amer. Math. Soc. 289 (1985), 409-427. MR 86h:46023
3. Y. Benyamini, M. E. Rudin and M. Wage, Continuous images of weakly compact subsets of Banach spaces, Pacific J. Math. 70 (1977), 309-324. MR 58:30065
4. J.M.F Castillo and M. González, Three space problems in Banach space theory, Lecture Notes in Math., Springer-Verlag, 1997. MR 99a:46034
5. R. Deville, G. Godefroy and V. Zizler, Smoothness and Renormings in Banach Spaces, Monographs and Surveys in Pure and Applied Mathematics 64, Pitman, 1993. MR 94d:46012
6. M. Fabian, G. Godefroy and V. Zizler, The structure of uniformly Gâteaux smooth Banach spaces, Israel J. Math. 124 (2001), 243-252. MR 2002g:46015
7. M. Fabian, P. Habala, P. Hájek, V. Montesinos, J. Pelant and V. Zizler, Functional Analysis and infinite dimensional geometry, Canadian Math. Soc. Books, 8 (Springer-Verlag), 2001. MR 2002f:46001
8. W. B. Johnson and J. Lindenstrauss, Some remarks on weakly compactly generated Banach spaces, Israel J. Math. 17 (1974), 219-230. MR 54:5808
9. A. Moltó, J. Orihuela and S. Troyanski, Locally uniformly rotund renorming and fragmentability, Proc. London Math. Soc. (3) 75 (1997), 619-640. MR 98e:46011
10. S. Negrepontis, Banach Spaces and Topology, Handbook of Set-Theoretic Topology (K. Kunen and J. Vaughan, eds.), North-Holland, 1984, pp. 1045-1142. MR 86i:46018
11. M. Raja, Mesurabilité de Borel et renormages dans les espaces de Banach, (Doctoral dissertation), Printemps, 1998.
12. J. Rychtář, Uniformly Gâteaux differentiable norms in spaces with unconditional basis, Serdica Math. J. 26 (2000), 353-358. MR 2003a:46025
13. D. Yost, The Johnson-Lindenstrauss Space, Extracta Mathematicae 12 (1997), 185-192. MR 99a:46027
14. V. Zizler, Nonseparable Banach spaces, Handbook on Banach spaces (W. B. Johnson and J. Lindenstrauss, eds.), to appear.