The Mazur intersection property for families of closed bounded convex sets in Banach spaces
Bandyopadhyaya, Pradipta
Colloquium Mathematicae, Tome 63 (1992), p. 45-56 / Harvested from The Polish Digital Mathematics Library
Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:210133
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     author = {Pradipta Bandyopadhyaya},
     title = {The Mazur intersection property for families of closed bounded convex sets in Banach spaces},
     journal = {Colloquium Mathematicae},
     volume = {63},
     year = {1992},
     pages = {45-56},
     zbl = {0824.46017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv63i1p45bwm}
}
Bandyopadhyaya, Pradipta. The Mazur intersection property for families of closed bounded convex sets in Banach spaces. Colloquium Mathematicae, Tome 63 (1992) pp. 45-56. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv63i1p45bwm/

[000] [1] P. Bandyopadhyaya and A. K. Roy, Some stability results for Banach spaces with the Mazur Intersection Property, Indag. Math. 1 (2) (1990), 137-154. | Zbl 0728.46020

[001] [2] E. Bishop and R. R. Phelps, A proof that every Banach space is subreflexive, Bull. Amer. Math. Soc. 67 (1961), 97-98. | Zbl 0098.07905

[002] [3] B. Bollobás, An extension to the theorem of Bishop and Phelps, Bull. London Math. Soc. 2 (1970), 181-182. | Zbl 0217.45104

[003] [4] R. D. Bourgin, Geometric Aspects of Convex Sets with the Radon-Nikodým Property, Lecture Notes in Math. 993, Springer, 1983. | Zbl 0512.46017

[004] [5] G. Choquet, Lectures on Analysis, Vol. II, W. A. Benjamin, New York 1969.

[005] [6] J. Diestel and J. J. Uhl, Jr., Vector Measures, Math. Surveys 15, Amer. Math. Soc., Providence, R.I., 1977.

[006] [7] N. Dunford and J. T. Schwartz, Linear Operators, Vol. I, Interscience, New York 1958. | Zbl 0084.10402

[007] [8] J. R. Giles, Convex Analysis with Application in the Differentiation of Convex Functions, Pitman Adv. Publ. Program, Boston 1982. | Zbl 0486.46001

[008] [9] J. R. Giles, D. A. Gregory and B. Sims, Characterization of normed linear spaces with Mazur's intersection property, Bull. Austral. Math. Soc. 18 (1978), 105-123. | Zbl 0373.46028

[009] [10] S. Mazur, Über schwache Konvergenz in den Räumen (Lp), Studia Math. 4 (1933), 128-133. | Zbl 59.1076.01

[010] [11] R. R. Phelps, A representation theorem for bounded convex sets, Proc. Amer. Math. Soc. 11 (1960), 976-983. | Zbl 0098.07904

[011] [12] A. Sersouri, The Mazur property for compact sets, Pacific J. Math. 133 (1988), 185-195. | Zbl 0653.46021

[012] [13] A. Sersouri, Mazur's intersection property for finite dimensional sets, Math. Ann. 283 (1989), 165-170. | Zbl 0642.52002

[013] [14] J. H. M. Whitfield and V. Zizler, Mazur's intersection property of balls for compact convex sets, Bull. Austral. Math. Soc. 35 (1987), 267-274. | Zbl 0609.46005

[014] [15] V. Zizler, Note on separation of convex sets, Czechoslovak Math. J. 21 (1971), 340-343. | Zbl 0218.46018

[015] [16] V. Zizler, Renorming concerning Mazur's intersection property of balls for weakly compact convex sets, Math. Ann. 276 (1986), 61-66. | Zbl 0587.46007