Statistical extension of bounded sequence space
MetadataShow full item record
In this paper by using natural density real valued bounded sequence space l ∞ is extented and statistical bounded sequence space l s t ∞ is obtained. Besides the main properties of the space l s t ∞ , it is shown that l s t ∞ is a Banach space with a norm produced with the help of density. Also, it is shown that there is no matrix extension of the space l ∞ that its bounded sequences space covers l s t ∞ . Finally, it is shown that the space l ∞ is a non-porous subset of l s t ∞ .