Schröder–Catalan Matrix and Compactness of Matrix Operators on Its Associated Sequence Spaces
Year: 2024
Type: article
Abstract: In this article, the regular Schröder–Catalan matrix is constructed and acquired by benefiting Schröder and Catalan numbers. After that, two sequence spaces are introduced, described as the domain of Schröder–Catalan matrix. Additionally, some algebraic and topological properties of the spaces in question, such as completeness, inclusion relations, basis and duals, are examined. In the last two sections, the necessary and sufficient conditions of some matrix classes and compact operators related aforementioned spaces are presented.
Source: Symmetry
DOI: 10.3390/sym16101317
Author: Sezer Erdem
Institutions: Malatya Turgut Özal Üniversitesi, Turgut Özal University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,728
OpenAlex ID: W4403172071