Some Algebraic Properties of ℓᵖ(β)

Y. Estaremi; M. R. Jabbarzadeh

doi:10.37256/cm.122020209

Some Algebraic Properties of ℓᵖ(β)

Authors

Y. Estaremi Department of mathematics, Payame noor university, P. O. Box: 19395-3697, Tehran, Iran
M. R. Jabbarzadeh Faculty of mathematical sciences, University of tabriz, P. O. Box: 5166615648, Tabriz, Iran

DOI:

https://doi.org/10.37256/cm.122020209

Keywords:

Cauchy product, ◊-multiplication operator, Unicellularity, cyclicity, closed ideal

Abstract

In this paper, we consider a generalized Cauchy product ◊ on ℓ^p(β) and then we characterized some Banach algebra structures for ℓ^p(β). Also, some classic properties of ◊-multiplication operator M_{⋄, z}on ℓ ^p(β) will be investigated. In particular, we obtain the form of closed ideals of ( ℓ ^p (β ), ◊) .

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Published

2020-03-13

How to Cite

Y. Estaremi, M. R. Jabbarzadeh. Some Algebraic Properties of ℓᵖ(β). Contemp. Math. [Internet]. 2020 Mar. 13 [cited 2024 Dec. 21];1(2):54-62. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/209

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Issue

Contemporary Mathematics, Volume 1 Issue 2 (2020), 54-111

Section

Research Article