Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm

Henryk Hudzik; Zenon Zbąszyniak

Colloquium Mathematicae (1993)

  • Volume: 65, Issue: 2, page 157-164
  • ISSN: 0010-1354

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Hudzik, Henryk, and Zbąszyniak, Zenon. "Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm." Colloquium Mathematicae 65.2 (1993): 157-164. <http://eudml.org/doc/210210>.

@article{Hudzik1993,
author = {Hudzik, Henryk, Zbąszyniak, Zenon},
journal = {Colloquium Mathematicae},
keywords = {smooth point; Musielak-Orlicz function; Musielak-Orlicz space; support functional; point of smoothness; smooth Banach space},
language = {eng},
number = {2},
pages = {157-164},
title = {Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm},
url = {http://eudml.org/doc/210210},
volume = {65},
year = {1993},
}

TY - JOUR
AU - Hudzik, Henryk
AU - Zbąszyniak, Zenon
TI - Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm
JO - Colloquium Mathematicae
PY - 1993
VL - 65
IS - 2
SP - 157
EP - 164
LA - eng
KW - smooth point; Musielak-Orlicz function; Musielak-Orlicz space; support functional; point of smoothness; smooth Banach space
UR - http://eudml.org/doc/210210
ER -

References

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  1. [1] T. Ando, Linear functionals on Orlicz spaces, Nieuw Arch. Wisk. 3 (8) (1960), 1-16. Zbl0129.08001
  2. [2] J. Diestel, Geometry of Banach Spaces--Selected Topics, Lecture Notes in Math. 481, Springer, 1975. Zbl0307.46009
  3. [3] R. Grząślewicz and H. Hudzik, Smooth points of Orlicz spaces equipped with the Luxemburg norm, Math. Nachr. 155 (1991), 31-45. Zbl0795.46016
  4. [4] H. Hudzik and Y. Ye, Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm, Comment. Math. Univ. Carolinae 31 (4) (1990), 661-684. Zbl0721.46012
  5. [5] M. A. Krasnoselskiĭ and Ya. B. Rutickiĭ, Convex Functions and Orlicz Spaces, Noordhoff, Groningen 1961 (translated from Russian). 
  6. [6] W. A. J. Luxemburg, Banach function spaces, thesis, Delft 1955. Zbl0068.09204
  7. [7] J. Musielak, Orlicz Spaces and Modular Spaces, Lecture Notes in Math. 1034, Springer, 1983. 
  8. [8] R. Phelps, Convex Functions, Monotone Operators and Differentiability, Lecture Notes in Math. 1364, Springer, 1989. Zbl0658.46035
  9. [9] R. Płuciennik and Y. Ye, Differentiability of Musielak-Orlicz sequence spaces, Comment. Math. Univ. Carolinae 30 (1989), 699-711. Zbl0706.46022
  10. [10] M. M. Rao and Z. D. Ren, Theory of Orlicz Spaces, Dekker, New York 1991. Zbl0724.46032

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