On Some Geometric Properties of a New Paranormed Sequence Space. (24th April 2014)

• Record Type: Journal Article
• Authors: Karakaya, Vatan; Altun, Fatma
• Other Names: Mohiuddine S.A. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2014(2014)
• Publication Date: 2014-04-24
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2014/685382
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We introduce a new sequence space which is defined by the operatorW = ( w n k ) on the sequence spaceℓ ( 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.