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 |
. |
Category:
|
math |
. |
MSC:
|
46B03 |
MSC:
|
46B05 |
MSC:
|
46B10 |
MSC:
|
46B20 |
idZBL:
|
Zbl 0231.46037 |
idMR:
|
MR0305043 |
. |
Date available:
|
2008-06-05T20:37:33Z |
Last updated:
|
2012-04-27 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105395 |
. |
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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