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    STATISTICAL EXTENSION OF BOUNDED SEQUENCE SPACE
    (Ankara Univ, Fac Sci, 2021) Altinok, Maya; Kucukaslan, Mehmet; Kaya, Umutcan
    In this paper by using natural density real valued bounded sequence space l(infinity) is extented and statistical bounded sequence space l(infinity)(st) is obtained. Besides the main properties of the space l(infinity)(st), it is shown that l(infinity)(st) 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(infinity) that its bounded sequences space covers l(infinity)(st). Finally, it is shown that the space l(infinity) is a non-porous subset of l(infinity)(st).