On Some New Modular Sequence Spaces



Título del documento: On Some New Modular Sequence Spaces
Revista: Boletim da Sociedade Paranaense de Matematica
Base de datos: PERIÓDICA
Número de sistema: 000365947
ISSN: 0037-8712
Autores: 1
2
Instituciones: 1Firat University, Department of Mathematics, Elazig. Turquía
2Mus Alparslan University, Department of Mathematics, Mus. Turquía
Año:
Volumen: 31
Número: 2
Paginación: 55-65
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, analítico
Resumen en inglés 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)
Disciplinas: Matemáticas
Palabras clave: Matemáticas puras,
Espacios secuenciales,
Función de Orlicz
Keyword: Mathematics,
Pure mathematics,
Sequence spaces,
Orlicz function
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