Some topological and geometrical properties of the sequence space er (u,p)

Some topological and geometrical properties of the sequence space er (u,p)

In this paper, we introduce the sequence space er(u,p) and investigate its some topological and geometrical properties such as basis, α-, β-, γ- duals and the uniform Opial property.

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Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2012-07, Vol.32 (4), p.1513-1528
Hauptverfasser: Demiriz, Serkan, Çakan, Celal
Format: Artikel
Sprache:eng
Schlagworte:
40A05
46A45
46E30
Luxemburg norm and uniform Opial property
matrix transformations
paranormed sequence spaces
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Beschreibung
Zusammenfassung:In this paper, we introduce the sequence space er(u,p) and investigate its some topological and geometrical properties such as basis, α-, β-, γ- duals and the uniform Opial property.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(12)60120-9