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Article

Title: Note on separation of convex sets (English)
Author: Zizler, Václav
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 21
Issue: 2
Year: 1971
Pages: 340-343
Summary lang: English
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Category: math
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MSC: 46B99
MSC: 52A05
idZBL: Zbl 0218.46018
idMR: MR0291954
DOI: 10.21136/CMJ.1971.101025
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Date available: 2008-06-09T13:51:32Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101025
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Reference: [1] E. Asplund: Fréchet differentiability of convex functions.Acta Mathem. 121 (1 - 2), (1968), 31-48. Zbl 0162.17501, MR 0231199, 10.1007/BF02391908
Reference: [2] E. Bishop R. R. Phelps: A proof that every Banach space is subreflexive.Bull. Am. Math. Soc. 67, 79-98. MR 0123174
Reference: [3] N. Dunford J. T. Schwartz: Linear operators.Part I, Interscience, New York 1966.
Reference: [3a] H. A. Иванов: О дифференциалах Гато и Фреше.Успехи Матем. наук 10 (1955), 161 - 166. Zbl 1160.26300, MR 0070975
Reference: [4] М. I. Kadec: On the spaces isomorphic to locally uniformly rotund spaces.(Russian), Izvestija vysš. uč. zav. Matem. 1, (1959), 6, 51-57 and 1, (1961), 6, 186-187. MR 0126692
Reference: [5] J. Lindenstrauss: On operators which attain their norm.Israel Journal Math. 1 (1963), 139-148. Zbl 0127.06704, MR 0160094, 10.1007/BF02759700
Reference: [6] A. R. Lovaglia: Locally uniformly convex Banach spaces.Trans. Am. Math. Soc. 78 (1958) 225-238. MR 0066558
Reference: [7] S. Mazur: Über schwache Konvergenz in den Räumen $L^p$.Studia Math. 4 (1933) 128 - 133. 10.4064/sm-4-1-128-133
Reference: [8] R. R. Phelps: A representation theorem for bounded convex sets.Proc. Am. Math. Soc. 11 (1960), 976-983. MR 0123172, 10.1090/S0002-9939-1960-0123172-X
Reference: [9] V. L. Šmuljan: Sur la structure de la sphere unitaire dans l'espace de Banach.Matem. Sborník 9 (1941) 545-572.
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