On the fine spectrum of the generalized difference operator B(r,s) over the sequence spaces c0 and c

We determine the fine spectrum of the generalized difference operator B(r,s) defined by a band matrix over the sequence spaces c0 and c, and derive a Mercerian theorem. This generalizes our earlier work (2004) for the difference operator Δ, and includes as other special cases the right shift and the...

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Detalhes bibliográficos
Principais autores: Bilâl Altay, Feyzı Başar
Formato: Artigo
Idioma:English
Publicado em: Wiley 2005-01-01
coleção:International Journal of Mathematics and Mathematical Sciences
Acesso em linha:http://dx.doi.org/10.1155/IJMMS.2005.3005