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Title: On extremal structure of weakly locally compact convex sets in Banach spaces (English)
Author: Zizler, Václav E.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 13
Issue: 1
Year: 1972
Pages: 53-61
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Category: math
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MSC: 46B03
MSC: 46B05
MSC: 46B10
MSC: 46B20
idZBL: Zbl 0231.46037
idMR: MR0305043
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Date available: 2008-06-05T20:37:33Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105395
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Reference: [1] E. ASPLUND: Fréchet differentiability of convex functions.Acta Math. 121 (1968), 31-48. Zbl 0162.17501, MR 0231199
Reference: [2] E. ASPLUND, R. T. ROCKAFELLAR: Gradient a of convex functions.Trans. Amer. Math. Soc. 139 (1968), 443-467. MR 0240621
Reference: [3] H. CORSON, J. LINDENSTRAUSS: On weakly compact subsets of Banach spaces.Proc. Amer. Math. Soc. 17 (1966), 407-412. Zbl 0186.44703, MR 0199669
Reference: [4] M. M. DAY: Normed spaces.Russian transl., Moscow, 1961.
Reference: [5] V. KLEE: Extremal structure of convex sets.Arch. Math. 8 (1957), 234-240. Zbl 0079.12501, MR 0092112
Reference: [6] V. KLEE: Extremal structure of convex sets II.Math. Zeitschr. 69 (1958), 90-104. Zbl 0079.12502, MR 0092113
Reference: [7] G. KÖTHE: Topological Vector Spaces I.Springer-Verlag, New York, 1969. MR 0248498
Reference: [8] J. LINDENSTRAUSS: On operators which attain their norm.Israel J. Math. 1 (1963), 139-148. Zbl 0127.06704, MR 0160094
Reference: [9] J. LINDENSTRAUSS: Weakly compact sets, their topological properties and Banach spaces they generate.Proc. Symp. Infinite Dim. Topology 1967, Ann. of Math. Studies, Princeton Univ. Press, Princeton, N. J. (to appear). MR 0417761
Reference: [10] I. SINGES: Cea Mai Buna Approximare in Spatii Vectoriale Normate prin Elements din Subspatii Vectoriale.Bucuresti, 1967.
Reference: [11] S. L. TROJANSKI: On locally uniformly convex and differentiable norms in certain nonseparable Banach spaces.Stadia Math. XXXVII (1971), 173-180. MR 0306873
Reference: [12] V. ZIZLER: Remarks on extremal structure of convex sets in Banach spaces.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. XIX (1971), 451-455. MR 0305042
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