Some Geometric Properties of the Domain of the Double Sequential Band Matrix B(r~,s~) in the Sequence Space ℓ(p)

Havva Nergiz and Feyzi Başar

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: The sequence space ℓ(p) was introduced by Maddox (1967). Quite recently, the sequence space ℓ(B~,p) of nonabsolute type has been introduced and studied which is the domain of the double sequential band matrix B(r~,s~) in the sequence space ℓ(p) by Nergiz and Başar (2012). The main purpose of this paper is to investigate the geometric properties of the space ℓ(B~,p), like rotundity and Kadec‐Klee and the uniform Opial properties. The last section of the paper is devoted to the conclusion.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/421031

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:421031

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().