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.
\alpha - \beta -~and \gamma -duals and basis of sequence Matrix mappings Pascal sequence spaces
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | June 30, 2018 |
Submission Date | March 27, 2018 |
Acceptance Date | June 25, 2018 |
Published in Issue | Year 2018 Volume: 1 Issue: 1 |