Advanced Search

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

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]