Some new Pascal sequence spaces

Authors : Harun Polat

Pages : 61-68

Doi:10.33401/fujma.409932

View : 24 | Download : 11

Publication Date : 2018-06-30

Article Type : Research Paper

Abstract :The main purpose of the present paper is to study of some new Pascal sequence spaces $p_{\infty }$, $p_{c}$ and $p_{0}$. New Pascal sequence spaces $p_{\infty }$, $p_{c}$ and $p_{0}$ are found as $BK$-spaces and it is proved that the spaces $% p_{\infty }$, $p_{c}$ and $p_{0}~$are linearly isomorphic to the spaces $% l_{\infty }$, $c\ $and $c_{0}$ respectively. Afterward, $\alpha $-, $\beta $% -~and $\gamma $-duals of these spaces $p_{c}$ and $p_{0}$ are computed and their bases are consructed. Finally, matrix the classes $insert ignore into journalissuearticles values(p_{c}:l_{p});$ and $% insert ignore into journalissuearticles values(p_{c}:c);$ have been characterized.
Keywords : alpha, eta and gamma duals and basis of sequence, Matrix mappings, Pascal sequence spaces