Abstract
This article intends to develop q-Catalan sequence spaces and
due to q-Catalan matrix
in
and
respectively. Apart from obtaining some basic topological properties and Schauder basis, we compute α-, β-, and γ-duals of the spaces
and
We state and prove a theorem that characterize certain matrix classes (X, Y), where X is either of the space
or
and
The final section is devoted to determination of certain conditions by which a matrix operator becomes compact.
Acknowledgments
The authors would like to thank the anonymous reviewers for making helpful comments that have improved the readability of the paper to a great extent.
Data availability statement
No data and materials are associated with this research.
Disclosure statement
No conflict of interests.