Normal Structure for Banach Spaces with Schauder Decomposition
Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 344-351

Voir la notice de l'article provenant de la source Cambridge University Press

We introduce a new constant in Banach spaces which implies, in certain cases, the weak- or weak*-normal structure.
DOI : 10.4153/CMB-1989-050-7
Mots-clés : Normal structure, Schauder decomposition, fixed point property
Khamsi, M. A. Normal Structure for Banach Spaces with Schauder Decomposition. Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 344-351. doi: 10.4153/CMB-1989-050-7
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[1] 1. Andrew, A., Spreading basic sequences and subspaces of James quasi reflexive space.Math. Scad. 48 (1981), 108–118. Google Scholar

[2] 2. Beauzamy, B. and Lapreste, J. T., Modèles étalés des espaces de Banach, Publication du Dept. de Math. Université Claude Barnard-Lyon 1. Google Scholar

[3] 3. Brodskii, M. S. and D. P. Mil'man, On the center of a convex set, Dokl. Akad. Nauk, USSR 59 (1948) 837–840. Google Scholar

[4] 4. Brunei, A. and Sucheston, L., On B-convex Banach spaces, Math. System Theory, 7 (1974) 294–299. Google Scholar

[5] 5. Bynum, W. L., Normal structure coefficients for Banach spaces, Pac. J. Math. Vol. 86, No. 2, (1980) 427–436. Google Scholar

[6] 6. Day, M. M., Normed linear spaces, 3rd Edn. Springer-Verlag, 1973. Google Scholar

[7] 7. Guerre, S. and J. T. Lapreste, Quelques propriétés des modèles étalés sur un espace de Banach, Ann. IHP. Section B 16-4 (1980) 339–347. Google Scholar

[8] 8. James, R. C., Bases and reflexivity of Banach spaces, Ann. of Math. 52 (1950) 518–527. Google Scholar

[9] 9. Khamsi, M. A., James quasi-reflexive space has the fixed point property, to appear in Bull. Aust. Math. Soc. Google Scholar

[10] 10. Kirk, W. A., A fixed point theorem for mappings which do not increase distance, Amer. Math. Monthly 72 (1965) 1004-1006. MR 32=6436. Google Scholar

[11] 11. Kirk, W. A., Fixed point theory for non expansive mappings, II. Contemporary Mathematics, Vol. 18 (1983) 121–140. Google Scholar

[12] 12. Landes, T., Permanence properties of normal structure, Pac. J. Math. Vol 110, No. 1 (1984) 125— 143. Google Scholar

[13] 13. Lim, T. C., Asymptotic centers and nonexpansive mappings in conjugate Banach spaces, Pac. J. Math. 90 (1980) 134–143. Google Scholar

[14] 14. Lindenstrauss, J. and Tzafriri, L., Classical Banach Spaces-I-Sequence spaces, Springer-Verlag 1977. Google Scholar

[15] 15. Sims, B., “Ultra“-techniques in Banach space theory, Queen's papers in Pure and Applied Mathematics, no. 60, Queen's University, Kingston, Ontario, Canada. Google Scholar

[16] 16. Soardi, P. M., Schauder bases and fixed points of nonexpansive mappings, Pac. J. Math. Vol. 101, No. 1 (1982) 193–198. Google Scholar

[17] 17. Swaminathan, S., Normal structure in Banach spaces and its generalizations, Contemporary Mathematics, Vol. 18 (1983) 201–215. Google Scholar

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