Some new Pascal sequence spaces

Year 2018, Volume: 1 Issue: 1, 61 - 68, 30.06.2018

Harun Polat

https://doi.org/10.33401/fujma.409932

Cited By: 4

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 $(p_{c}:l_{p})$ and $% (p_{c}:c)$ have been characterized.

Keywords

$\alpha $-, $\beta $-~and $\gamma $-duals and basis of sequence, Matrix mappings, Pascal sequence spaces

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