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...

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Bibliographic Details
Published in:Journal of applied analysis Vol. 30; no. 2; pp. 301 - 310
Main Authors: Değirmen, Nilay, Sağır, Birsen
Format: Journal Article
Language:English
Published: Berlin De Gruyter 01.12.2024
Walter de Gruyter GmbH
Subjects:
40A05
46A45
46B45
Bicomplex numbers
multiplier space
Multipliers
sequence spaces
ISSN:1425-6908, 1869-6082
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:1425-6908
1869-6082
DOI:10.1515/jaa-2023-0123