Abstract
The main aim of this article is to generalize the famous Orlicz sequence space by using difference operators and a sequence of non-zero scalars and investigate some topological structure relevant to this generalized space.
Keywords
Difference sequence space multiplier sequence space Orlicz function AK-BK space topological isomorphism and Köthe-Toeplitz dual
References
- Kizmaz H., 1981. On certain sequence spaces, Canadian Mathematical Bulletin, 24 (2): 169-176.
- Kamthan P.K., Gupta M., 1981. Sequence Spaces and Series, Marcel Dekker Inc., New York, USA, p. 368.
- Lindenstrauss J., Tzafriri L., 1971. On Orlicz sequence spaces, Israel Journal of Mathematics, 10: 379-390.
- Gribanov Y., 1957. On the theory of ℓM-spaces(Russian), Ucenyja Zapiski Kazanskun-ta, 117: 62-65.
- Krasnoselskii M.A., Rutitsky Y.B., 1961. Convex functions and Orlicz spaces, Groningen, Netherlands, p. 249.
- Goes G., Goes S., 1970. Sequences of bounded variation and sequences of Fourier coefficients, Mathematische Zeitschrift, 118 (2): 93-102.
- Köthe G., Toeplitz O., 1934. Linear Raume mit unendlichvielen koordinaten and Ringe unendlicher Matrizen, Journal Für Die Reine und Angewandte Mathematik, 1934 (171): 193-226.
- Kamthan P.K., 1976. Bases in a certain class of Frechet spaces, Tamkang Journal of Mathematics, 7 (1): 41-49.
- Başar F., Altay B., 2003. On the space of sequences of p-bounded variation and related matrix mappings, Ukrainian Mathematical Journal, 55 (1): 136-147.
- Altay B., Başar F., 2007. The fine spectrum and the matrix domain of the difference operator ∆ on the sequence space l p
Abstract
Bu makalenin amacı, sıfırdan farklı skalerlerden oluşan bir diziyi ve fark operatörlerini kullanarak Orlicz dizi uzaylarını genelleştirmek ve bu yeni tanımladığımız uzayın topolojik yapısını incelemektir.
Keywords
Fark dizi uzayı çok indisli dizi uzayı Orlicz fonksiyonu AK-BK uzayı toplojik izomorfizm Köthe-Toeplitz duali
References
- Kizmaz H., 1981. On certain sequence spaces, Canadian Mathematical Bulletin, 24 (2): 169-176.
- Kamthan P.K., Gupta M., 1981. Sequence Spaces and Series, Marcel Dekker Inc., New York, USA, p. 368.
- Lindenstrauss J., Tzafriri L., 1971. On Orlicz sequence spaces, Israel Journal of Mathematics, 10: 379-390.
- Gribanov Y., 1957. On the theory of ℓM-spaces(Russian), Ucenyja Zapiski Kazanskun-ta, 117: 62-65.
- Krasnoselskii M.A., Rutitsky Y.B., 1961. Convex functions and Orlicz spaces, Groningen, Netherlands, p. 249.
- Goes G., Goes S., 1970. Sequences of bounded variation and sequences of Fourier coefficients, Mathematische Zeitschrift, 118 (2): 93-102.
- Köthe G., Toeplitz O., 1934. Linear Raume mit unendlichvielen koordinaten and Ringe unendlicher Matrizen, Journal Für Die Reine und Angewandte Mathematik, 1934 (171): 193-226.
- Kamthan P.K., 1976. Bases in a certain class of Frechet spaces, Tamkang Journal of Mathematics, 7 (1): 41-49.
- Başar F., Altay B., 2003. On the space of sequences of p-bounded variation and related matrix mappings, Ukrainian Mathematical Journal, 55 (1): 136-147.
- Altay B., Başar F., 2007. The fine spectrum and the matrix domain of the difference operator ∆ on the sequence space l p
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Publication Date | June 27, 2010 |
| Published in Issue | Year 2010 Volume: 5 Issue: 1 |