| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000365947 |
| ISSN: | 0037-8712 |
| Authors: | Bektas, Cigdem1 Atici, Gulcan2 |
| Institutions: | 1Firat University, Department of Mathematics, Elazig. Turquía 2Mus Alparslan University, Department of Mathematics, Mus. Turquía |
| Year: | 2013 |
| Volumen: | 31 |
| Number: | 2 |
| Pages: | 55-65 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, analítico |
| English abstract | Lindenstrauss and Tzafriri [7] used the idea of Orlicz function to define the sequence space ℓM which is called an Orlicz sequence space. Another generalization of Orlicz sequence spaces is due to Woo [9]. An important subspace of ℓ (M), which is an AK-space, is the space h (M) . We define the sequence spaces ℓM ( m) and ℓ N( m), where M = (Mk) and N = (Nk) are sequences of Orlicz functions such that Mk and Nk be mutually complementary for each k. We also examine some topological properties of these spaces. We give the α−, β− and γ− duals of the sequence space h (M) and α− duals of the squence spaces ℓ (M, λ) and ℓ (N, λ) |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Espacios secuenciales, Función de Orlicz |
| Keyword: | Mathematics, Pure mathematics, Sequence spaces, Orlicz function |
| Full text: | Texto completo (Ver PDF) |
