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On some p−estimates for Banach spaces

Published online by Cambridge University Press:  17 April 2009

D. Kutzarova ,
E. Maluta  and
S. Prus
D. Kutzarova
Affiliation:
Inst. of Mathematics Bulgarian Acad. of Sciences 1090 Sofia, Bulgaria
E. Maluta
Affiliation:
Department of Mathematics, M. Curie-Sklodowska University, 20–031 Lublin, Poland
S. Prus
Affiliation:
Dip. di Matematica-Politecnico via Bonardi 9 20133 Milano, Italy
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Relations between lp-type estimates of Khamsi and a uniform version of the Kadec-Klee property are studied. Khamsi's result on normal structure is strengthened.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 48 , Issue 2 , October 1993 , pp. 187 - 194
Copyright
Copyright © Australian Mathematical Society 1993

References

[1]Brodskii, M.S. and Milman, D.P., ‘On the center of a convex set’, Dokl Akad. Nauk SSSR 59 (1948), 837–840.Google Scholar
[2]van Dulst, D. and Sims, B., ‘Fixed points of nonexpansive mappings and Chebyshev centers in Banach spaces with norms of type KK’, in Banach space theory and its applications (Springer-Verlag, Berlin, Heidelberg, New York, 1983), pp. 35–43.Google Scholar
[3]Huff, R., ‘Banach spaces which are nearly uniformly convex’, Rocky Mountain J. Math. 10 (1980), 743–749.CrossRefGoogle Scholar
[4]Khamsi, M.A., ‘Normal structure for Banach spaces with Schauder decomposition’, Canad. Math. Bull. 32 (1989), 344–351.CrossRefGoogle Scholar
[5]Kirk, W.A. and Goebel, K., Topics in metric fixed point theory (Cambridge University Press, Cambridge, 1990).Google Scholar
[6]Kutzarova, D., Maluta, E. and Prus, S., ‘Property (β) implies normal structure of the dual space’, Rend. Circ. Mat. Palermo (to appear).Google Scholar
[7]Lindenstrauss, J. and Tzafriri, L., Classical Banach spaces I. Sequence spaces (Springer-Verlag, Berlin, Heidelberg, New York, 1977).Google Scholar
[8]Maluta, E., ‘Uniformly normal structure and related coefficients’, Pacific J. Math. 111 (1984), 357–369.CrossRefGoogle Scholar
[9]Prus, S., ‘Nearly uniformly smooth Banach spaces’, Boll. Un. Mat. Hal. (7) 3-B (1989), 507–521.Google Scholar
[10]Rolewicz, S., ‘On Δ-uniform convexity and drop property’, Studia Math. 87 (1987), 181–191.CrossRefGoogle Scholar