A note on Köthe-Toeplitz duals and multiplier spaces of sequence spaces involving bicomplex numbers

• Autorzy: Değirmen Nilay , Sağır Birsen

Identyfikatory

DOI

10.1515/jaa-2023-0123

• Języki publikacji: EN

Abstrakty

EN

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 l_p(𝔹ℂ) for 1 ≤ p ≤ ∞, c₀(𝔹ℂ) and c(𝔹ℂ). 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.

Słowa kluczowe

EN

bicomplex numbers; sequence spaces; alpha-dual; beta-dual; gamma-dual; multiplier spaces

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 2
• Strony: 301--310
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Değirmen Nilay

• Department of Mathematics, Ondokuz Mayıs University, Samsun, Turkey

autor

Sağır Birsen

• Department of Mathematics, Ondokuz Mayıs University, Samsun, Turkey

Bibliografia

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