Motzkin Sequence Spaces and Motzkin Core

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 c 0 , respectively. It is investigated topological properties, establishe...

Full description

Saved in:
Bibliographic Details
Published in:Numerical functional analysis and optimization Vol. 45; no. 4-6; pp. 283 - 303
Main Authors: Erdem, Sezer, Demiriz, Serkan, Şahin, Adem
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 25.04.2024
Taylor & Francis Ltd
Subjects:
Core theorems
Köthe duals
matrix transformations
Motzkin numbers
sequence spaces
ISSN:0163-0563, 1532-2467
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 c 0 , 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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2024.2333250