On extremal structure of weakly locally compact convex sets in Banach spaces

Václav Zizler

Commentationes Mathematicae Universitatis Carolinae (1972)

  • Volume: 013, Issue: 1, page 53-61
  • ISSN: 0010-2628

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Zizler, Václav. "On extremal structure of weakly locally compact convex sets in Banach spaces." Commentationes Mathematicae Universitatis Carolinae 013.1 (1972): 53-61. <http://eudml.org/doc/16474>.

@article{Zizler1972,
author = {Zizler, Václav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {1},
pages = {53-61},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On extremal structure of weakly locally compact convex sets in Banach spaces},
url = {http://eudml.org/doc/16474},
volume = {013},
year = {1972},
}

TY - JOUR
AU - Zizler, Václav
TI - On extremal structure of weakly locally compact convex sets in Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1972
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 013
IS - 1
SP - 53
EP - 61
LA - eng
UR - http://eudml.org/doc/16474
ER -

References

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  1. E. ASPLUND, Fréchet differentiability of convex functions, Acta Math. 121 (1968), 31-48. (1968) Zbl0162.17501MR0231199
  2. E. ASPLUND, R. T. ROCKAFELLAR, Gradient a of convex functions, Trans. Amer. Math. Soc. 139 (1968), 443-467. (1968) MR0240621
  3. H. CORSON, J. LINDENSTRAUSS, On weakly compact subsets of Banach spaces, Proc. Amer. Math. Soc. 17 (1966), 407-412. (1966) Zbl0186.44703MR0199669
  4. M. M. DAY, Normed spaces, Russian transl., Moscow, 1961. (1961) 
  5. V. KLEE, Extremal structure of convex sets, Arch. Math. 8 (1957), 234-240. (1957) Zbl0079.12501MR0092112
  6. V. KLEE, Extremal structure of convex sets II, Math. Zeitschr. 69 (1958), 90-104. (1958) Zbl0079.12502MR0092113
  7. G. KÖTHE, Topological Vector Spaces I, Springer-Verlag, New York, 1969. (1969) MR0248498
  8. J. LINDENSTRAUSS, On operators which attain their norm, Israel J. Math. 1 (1963), 139-148. (1963) Zbl0127.06704MR0160094
  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). (1967) MR0417761
  10. I. SINGES, Cea Mai Buna Approximare in Spatii Vectoriale Normate prin Elements din Subspatii Vectoriale, Bucuresti, 1967. (1967) 
  11. S. L. TROJANSKI, On locally uniformly convex and differentiable norms in certain nonseparable Banach spaces, Stadia Math. XXXVII (1971), 173-180. (1971) MR0306873
  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. (1971) MR0305042

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