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...
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| Vydáno v: | Numerical functional analysis and optimization Ročník 45; číslo 4-6; s. 283 - 303 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Abingdon
Taylor & Francis
25.04.2024
Taylor & Francis Ltd |
| Témata: | |
| ISSN: | 0163-0563, 1532-2467 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | 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. |
|---|---|
| Bibliografie: | 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 |