On Some Geometric Properties of a New Paranormed Sequence Space

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2014 Turkey English Publisher:Hindawi LimitedJournal:Journal of Function Spaces, volume 2,014, pages 1-8 (issn: 2314-8896, eissn: 2314-8888,

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Authors: Karakaya, Vatan; Altun, Fatma;

doi: 10.1155/2014/685382

handle: 20.500.12440/3123

On Some Geometric Properties of a New Paranormed Sequence Space

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Abstract

We introduce a new sequence space which is defined by the operatorW=(wnk)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.

Country

Turkey

Related Organizations

Gümüşhane University
Turkey
Yıldız Technical University
Turkey

Keywords

sequence space, [No Keywords], QA1-939, Mathematics, Sequence spaces (including Köthe sequence spaces)

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