On Some Geometric Properties of a New Paranormed Sequence Space

Autor: Vatan Karakaya, Fatma Altun
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Journal of Function Spaces, Vol 2014 (2014)
Druh dokumentu: article
ISSN: 2314-8896
2314-8888
DOI: 10.1155/2014/685382
Popis: We introduce a new sequence space which is defined by the operator W=(wnk) on the sequence space ℓ(p). We define a modular functional on this space and investigate structure of this space equipped with Luxemburg norm. Also we study some geometric properties which are called Kadec-Klee, k-NUC, and uniform Opial properties and prove that this new space possesses these properties.
Databáze: Directory of Open Access Journals