A note on Köthe–Toeplitz duals and multiplier spaces of sequence spaces involving bicomplex numbers
In this paper, we generalize the notions of the Köthe–Toeplitz duals of sequence spaces by introducing the concepts of bicomplex α-dual, bicomplex β-dual and bicomplex γ-dual, and also we compute them for some bicomplex sequence spaces for , and . Furthermore, we define a concept of bicomplex multip...
Uložené v:
| Vydané v: | Journal of applied analysis Ročník 30; číslo 2; s. 301 - 310 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Berlin
De Gruyter
01.12.2024
Walter de Gruyter GmbH |
| Predmet: | |
| ISSN: | 1425-6908, 1869-6082 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Shrnutí: | In this paper, we generalize the notions of the Köthe–Toeplitz duals of
sequence spaces by introducing the concepts of bicomplex α-dual,
bicomplex β-dual and bicomplex γ-dual, and also we compute
them for some bicomplex sequence spaces
for
,
and
. Furthermore, we define a concept of bicomplex
multiplier space as the bicomplex version of multiplier space of two
sequence spaces and support this definition with examples. |
|---|---|
| Bibliografia: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1425-6908 1869-6082 |
| DOI: | 10.1515/jaa-2023-0123 |