Powiadomienia systemowe
- Sesja wygasła!
- Sesja wygasła!
- Sesja wygasła!
Tytuł artykułu
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In this paper, necessary and sufficient conditions for a closed hyperplane in Orlicz space to be generalized orthogonally complemented are given for both the Orlicz and the Luxemburg norm. The concept of strongly generalized orthogonally complemented subspace in Banach space is defined and criteria for such subspaces in Orlicz space for both norms are given.
Wydawca
Rocznik
Strony
71--82
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
- School of Mathematics and Computer Science, Harbin Normal University, Harbin, 150080, P.R. China
autor
- Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
autor
- School of Mathematics and Computer Science, Harbin Normal University, Harbin, 150080, P.R. China
Bibliografia
- [1] T. Ando, Linear functionals on Orlicz spaces, Nieuw Arch. Wisk 8 (1960), 1-16.
- [2] V. Barbu and T. Precpuan, The Convexity and Optimization in Banach Spaces, Aca. Rep. Soc. Romania, Bucuresti, 1978.
- [3] S. T. Chen, Geometry of Orlicz spaces, Dissertationes Math. 356 (1996), 1-204.
- [4] S. T. Chen and X. T. Yu, Smooth points of Orlicz spaces, Comment. Math. Prace Mat. 31 (1991), 30-47.
- [5] S. T. Chen, H. Hudzik and A. Kamińska, Support functional and smooth points in Orlicz function spaces equipped with the Orlicz norm, Math. Japonica 39 (1994), 271-279.
- [6] J. Diestel, Geometry of Banach Spaces-Selected Topics, Springer-Verlag, 1975.
- [7] R. Grząślewicz and H. Hudzik, Smooth points of Orlicz spaces equipped with the Luxemburg norm, Math. Nachr. 155 (1992), 31-45.
- [8] H. Hudzik and Z. Zbąszyniak, Smoothness points of Musielak-Orlicz spaces equipped with the Orlicz norm, Collectanea Math. 48, 4-5-6 (1997), 543-561.
- [9] R. C. James, Orthogonality and linear functionals in normed linear spaces, Trans. Amer. Math. Soc. 61 (1947), 265-292.
- [10] J. Musielak, Orlicz Spaces and Modular Spaces, Lecture Notes in Math. 1034, Springer-Verlag, 1983.
- [11] M. Z. Nashed, Ed. Generalized Inverse and Applications, Academic Press, New York, 1976.
- [12] M. M. Rao and Z. D. Ren, Theory of Orlicz Spaces, Marcel Dekker Inc, New York, Basel, Hong-Kong, 1991.
- [13] Y. W. Wang and H. Wang, Generalized orthogonal decomposition theorem in Banach space and, generalized orthogonally complemented subspace, Acta Math. Sinica 44 (2001), 1045-1050.
- [14] Y. W. Wang and S. R. Pan, An approximation problem of the finite rank operator in Banach spaces, Science in China (Series A) 46 (2003), 245-250.
- [15] C. X. Wu, T. F. Wang, S. T. Chen and Y. W. Wang, Geometry of Orlicz Spaces, Harbin, 1986.
- [16] Z. Zbąszyniak, Smooth points of the unit spheres in Musielak-Orlicz function spaces equipped with the Luxemburg norm, Comment. Math. Univ. Carolinae 35 (1994), 95-102.
Uwagi
Dedicated to Professor Musielak on the occasion of his 75th birthday.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS2-0007-0049