On rough norms on Banach spaces

Kamil John; Václav Zizler

Commentationes Mathematicae Universitatis Carolinae (1978)

  • Volume: 019, Issue: 2, page 335-349
  • ISSN: 0010-2628

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John, Kamil, and Zizler, Václav. "On rough norms on Banach spaces." Commentationes Mathematicae Universitatis Carolinae 019.2 (1978): 335-349. <http://eudml.org/doc/16905>.

@article{John1978,
author = {John, Kamil, Zizler, Václav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {335-349},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On rough norms on Banach spaces},
url = {http://eudml.org/doc/16905},
volume = {019},
year = {1978},
}

TY - JOUR
AU - John, Kamil
AU - Zizler, Václav
TI - On rough norms on Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1978
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 019
IS - 2
SP - 335
EP - 349
LA - eng
UR - http://eudml.org/doc/16905
ER -

References

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  1. R. ANANTHARAMAN T. LEWIS J. H. M. WHITFIELD, Smoothability, strong smoothability and dentability in Banach spaces, to appear. MR0611210
  2. D. CUDIA, The geometry of Banach spaces. Smoothness, Trans. Amer. Math. Soc. 110 (1964), 284-314. (1964) Zbl0123.30701MR0163143
  3. J. B. COLIER, A class of strong differentiability spaces, Proc. Amer. Math. Soc. 53 (1975), 420-422 (1975) MR0388044
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  5. J. DIESTEL, Geometry of Banach spaces. Selected topics, Lecture Notes in Math. 485 (1975), Springer-Verlag. (1975) Zbl0307.46009MR0461094
  6. M. EDELSTEIN, Smoothability versus dentability, Comment. Math. Univ. Carolinae 14 (1973), 127-133. (1973) Zbl0264.46013MR0320708
  7. M. EDELSTEIN, Concerning dentability, Pacific J. Math. 46 (1973), 111-114. (1973) Zbl0259.46018MR0324378
  8. K. JOHN V. ZIZLER, A note on strong differentiability spaces, Comment. Math. Univ. Carolinae 17 (1976), 127-134. (1976) MR0402469
  9. D. C. KEMP, A note on smoothability in Banach spaces, Math. Ann. 218 (1975), 211-217. (1975) Zbl0302.46031MR0399808
  10. J. KURZWEIL, On approximation in real Banach spaces, Studia Math. 14 (1954), 214-231. (1954) MR0068732
  11. E. B. LEACH J. H. M. WHITFIELD, Differentiable functions and rough norms on Banach spaces, Proc. Amer. Math. Soc. 33 (1972), 120-126. (1972) MR0293394
  12. T. LEWIS, On the duality between smoothability and dentability, Proc. Amer. Math. Soc. 63 (1977), 239-244. (1977) Zbl0352.46008MR0445275
  13. I. NAMIOKA R. R. PHELPS, Banach spaces which are Asplund spaces, Duke Mat. J. 42 (1975), 735-749. (1975) MR0390721
  14. R. R. PHELPS, Dentability and extreme points in Banach spaces, J. Functional Analysis 16 (1974), 78-90. (1974) Zbl0287.46026MR0352941
  15. R. R. PHELPS, Differentiability of convex functions on Banach spaces, Lecture notes, London 1978. (1978) 
  16. Ch. STEGALL, The duality between Asplund spaces and spaces with the Radon Nikodym property, Israel J. Math., to appear Zbl0374.46015MR0493268
  17. Ch. STEGALL, The Radon Nikodym property in conjugate Banach spaces, Trans. Amer. Math. Soc. 206 (1975), 213-223. (1975) Zbl0318.46056MR0374381
  18. Ch. STEGALL, The Radon Nikodym property in conjugate Banach spaces II, Trans. Amer. Math. Soc., to appear. Zbl0475.46016MR0603779
  19. F. SULLIVAN, Dentability, smoothability and stronger properties in Banach spaces, Indiana Univ. Math. J. 26 (1977), 545-553. (1977) Zbl0376.46010MR0438088
  20. F. SULLIVAN, On the duality between Asplund spaces and spaces with the Radon Nikodym property, to appear. Zbl0384.46009MR0482090

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