Differentiability of Musielak-Orlicz sequence spaces

Ryszard Płuciennik; Yi Ning Ye

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 4, page 699-711
  • ISSN: 0010-2628

How to cite

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Płuciennik, Ryszard, and Ye, Yi Ning. "Differentiability of Musielak-Orlicz sequence spaces." Commentationes Mathematicae Universitatis Carolinae 030.4 (1989): 699-711. <http://eudml.org/doc/17781>.

@article{Płuciennik1989,
author = {Płuciennik, Ryszard, Ye, Yi Ning},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Gateaux differentiable norm; -condition; differentiability of Musielak-Orlicz sequence spaces; gradient},
language = {eng},
number = {4},
pages = {699-711},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Differentiability of Musielak-Orlicz sequence spaces},
url = {http://eudml.org/doc/17781},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Płuciennik, Ryszard
AU - Ye, Yi Ning
TI - Differentiability of Musielak-Orlicz sequence spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 4
SP - 699
EP - 711
LA - eng
KW - Gateaux differentiable norm; -condition; differentiability of Musielak-Orlicz sequence spaces; gradient
UR - http://eudml.org/doc/17781
ER -

References

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  1. J. Diestel, Geometry of Banach spaces, Lecture notes in math. 481 (1975). (1975) Zbl0307.46009
  2. A. Kaminska, Flat Orlicz-Musielak sequence spaces, Bull. Ac. Pol.: Math. 30 (1982), 347-352. (1982) Zbl0513.46008MR0707748
  3. M. A. Krasnosei'skij, Ya. Rutickij, Convex functions and Orlicz spaces, Gronigen (1961). (1961) 
  4. K. Lindberg, On subspaces of Orlicz sequence spaces, Studia Math. 45 (1973), 119-146. (1973) Zbl0217.16602MR0361721
  5. J. Musielak, Orlicz spaces and Modular spaces, Lecture notes in math 1034 (1983). (1983) Zbl0557.46020MR0724434
  6. J. Musielak W. Orlicz, On modular spaces, Studia math. 18 (1959), 49-65. (1959) Zbl0086.08901MR0101487
  7. M. M. Rao, Smoothness of Orlicz spaces I, Indagationes Math. 27 ser.A (1965), 671-680. (1965) Zbl0132.09104MR0190704
  8. M. M. Rao, Smoothess of Orlicz spaces II, ibidem 27 ser.A (1965), 681-690. (1965) MR0190704
  9. Ye Yining, Differentiability of Orlicz space, (Chinese), Journal of Harbin University of Science and Technology 2 (1987), 114-118. (1987) Zbl0653.46029
  10. M. Wisla, Continuity of the identity embedding of Musielak-Orlicz sequence spaces, Supplemento ai Rendiconti del Circolo Mat. di Palermo ser. II 14 (1987), 427-437. (1987) Zbl0645.46009MR0920876

Citations in EuDML Documents

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  1. Henryk Hudzik, Yi Ning Ye, Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm
  2. Henryk Hudzik, Zenon Zbąszyniak, Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm
  3. Zenon Zbąszyniak, Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm
  4. Henryk Hudzik, L. Wang, Ting Fu Wang, Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm

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