Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1085.46500
Şengönül, Mehmet; Başar, Feyzi
Some new Cesàro sequence spaces of non-absolute type which include the spaces $c_0$ and $c$.
(English)
[J] Soochow J. Math. 31, No. 1, 107-119 (2005). ISSN 0250-3255

Summary: In the present paper, the Cesàro sequence spaces $\widetilde c_0$ and $\widetilde c$ of nonabsolute type which are BK-spaces including the spaces $c_0$ and $c$ are introduced and it is proved that the spaces $\widetilde c_0$ and $\widetilde c$ are linearly isomorphic to the spaces $c_0$ and $c$, respectively. Additionally, the $\alpha$-, $\beta$- and $\gamma$-duals of the spaces $\widetilde c_0$ and $\widetilde c$ are computed and their bases are constructed. Finally, matrix mappings from the space $\widetilde c$ to $\mu$ and from the space $\mu$ to $\widetilde c$ are characterized by employing the suitable relations between the corresponding matrix classes, where $\mu$ is any given sequence space.
MSC 2000:
*46A45 Sequence spaces
46B45 Banach sequence spaces
46A35 Summability and bases in topological linear spaces

Highlights
Master Server