학술논문
Motzkin Sequence Spaces and Motzkin Core.
Document Type
Article
Author
Source
Subject
*TOPOLOGICAL property
*SEQUENCE spaces
*
Language
ISSN
0163-0563
Abstract
In the current work, it is constructed the Motzkin matrix obtained by using Motzkin numbers M = (m rs) and is examined the sequence spaces c (M) and c 0 (M) described as the domain of Motzkin matrix M in the spaces c and c0, respectively. It is investigated topological properties, established Schauder basis and stated Köthe duals of the aforementioned spaces. Additionally, it is characterized the matrix classes from c (M) and c 0 (M) to the classical sequence spaces and vice versa. Finally, Motzkin core of any sequence is presented and it is elaborated some inclusion relation of just described new type of core. [ABSTRACT FROM AUTHOR]