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

• Autorzy: Henryk Hudzik , Zenon Zbąszyniak
• Języki publikacji: EN

Słowa kluczowe

EN

smooth point; Musielak-Orlicz function; Musielak-Orlicz space; support functional

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 65
• Numer: 2
• Strony: 157-164

Daty

wydano

1993

otrzymano

1992-05-05

Twórcy

autor

Henryk Hudzik

• Institute of Mathematics, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

autor

Zenon Zbąszyniak

• Institute of Mathematics, Technical University of Poznań, Piotrowo 3a, 60-965 Poznań, Poland

Bibliografia

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