On convexity and smoothness of Banach space

Józef Banaś; Andrzej Hajnosz; Stanisław Wędrychowicz

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 3, page 445-452
  • ISSN: 0010-2628

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Banaś, Józef, Hajnosz, Andrzej, and Wędrychowicz, Stanisław. "On convexity and smoothness of Banach space." Commentationes Mathematicae Universitatis Carolinae 031.3 (1990): 445-452. <http://eudml.org/doc/17867>.

@article{Banaś1990,
author = {Banaś, Józef, Hajnosz, Andrzej, Wędrychowicz, Stanisław},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {smoothness of Banach space; modulus of convexity},
language = {eng},
number = {3},
pages = {445-452},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On convexity and smoothness of Banach space},
url = {http://eudml.org/doc/17867},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Banaś, Józef
AU - Hajnosz, Andrzej
AU - Wędrychowicz, Stanisław
TI - On convexity and smoothness of Banach space
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 3
SP - 445
EP - 452
LA - eng
KW - smoothness of Banach space; modulus of convexity
UR - http://eudml.org/doc/17867
ER -

References

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  7. Diestel J., Geometry of Banach spaces, Selected topics, Lecture Notes, Springer Verlag, 1975. (1975) Zbl0307.46009MR0461094
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  9. Goebel K., Kirk W. A., Topics in metric fixed point theory, Cambridge University Press, to appear. Zbl0708.47031MR1074005
  10. Köthe G., Topological vector spaces I, Springer Verlag, 1969. (1969) MR0248498
  11. Lindenstrauss J., On the modulus of smoothness and divergent series in Banach spaces, Mich. Math. J. 10 (1963), 241-252. (1963) Zbl0115.10001MR0169061
  12. Lindenstrauss J.,Tzafriri L., Classical Banach space, Lecture Notes, Springer Verlag, 1973. (1973) MR0415253
  13. Milman V. D., The geometric theory of Banach spaces, Part II, in Russian, Uspehi Mat. Nauk 26 (1971), 73-149. (1971) MR0420226
  14. Nordlander G., The modulus of convexity in normed linear spaces, Ark. Math. 4 (1960), 15-17. (1960) Zbl0092.11402MR0140915
  15. Opial Z., Lecture notes on nonexpansive and monotone mappings in Banach spaces, Lecture Notes, Center for Dynamical Systems, Brown University, 1967. (1967) 

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