On the Generalized -Riesz Difference Sequence Space and -Property | Zendy

Metin Başarır | Zendy; Mustafa Kayıkçı | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the Generalized -Riesz Difference Sequence Space and -Property

Author(s) -

Metin Başarır,

Mustafa Kayıkçı

Publication year - 2009

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/2009/385029

Subject(s) - mathematics , schauder basis , sequence (biology) , sequence space , dual polyhedron , space (punctuation) , riesz representation theorem , pure mathematics , property (philosophy) , m. riesz extension theorem , basis (linear algebra) , characterization (materials science) , riesz potential , matrix (chemical analysis) , banach space , geometry , linguistics , philosophy , genetics , epistemology , biology , materials science , composite material , nanotechnology

We introduce the generalized Riesz difference sequence space rq(p,Bm) which is defined by rq(p,Bm)={x=(xk)∈w:Bmx∈rq(p)} where rq(p) is the Riesz sequence space defined by Altay and Başar. We give some topological properties, compute the α_,β_ duals, and determine the Schauder basis of this space. Finally; we study the characterization of some matrix mappings on this sequence space. At the end of the paper, we investigate some geometric properties of rq(p,Bm) and we have proved that this sequence space has property (β) for pk≥1

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research