Weak amenability of Beurling algebra free products

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GHEISARI ELHAM; Yousofzadeh Akram; Asagri Mohammad Sadegh

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Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2021 | Volume:6 | Issue:28 Page(s): 45-55

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Title

Weak amenability of Beurling algebra free products

Author(s)

GHEISARI ELHAM | Yousofzadeh Akram | Asagri Mohammad Sadegh | Issue Writer Certificate

Keywords

Derivative

weakly amenable

weight

locally compact group

free Product

Abstract

In this paper, for a discrete group $G=mathbb{Z} astmathbb{Z}_n $ and a weight function of polynomial $ omega_ alpha $, we show that the Burling algebra $ ell^1(G, omega_ alpha) $ is not weakly amenable and dihedral group $D_ infty=mathbb{Z}_2astmathbb{Z}_2 $ is amenable. We also show that for a continuous weight function $ omega $ under certain conditions on group $ G $, if the Burling algebra $ ell^1(G, omega ) $ is weakly amenable then $ omega $ is bounded.

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APA: Copy

GHEISARI, ELHAM, Yousofzadeh, Akram, & Asagri, Mohammad Sadegh. (2021). Weak amenability of Beurling algebra free products. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 6(28 ), 45-55. SID. https://sid.ir/paper/954158/en

Vancouver: Copy

GHEISARI ELHAM, Yousofzadeh Akram, Asagri Mohammad Sadegh. Weak amenability of Beurling algebra free products. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2021;6(28 ):45-55. Available from: https://sid.ir/paper/954158/en

IEEE: Copy

ELHAM GHEISARI, Akram Yousofzadeh, and Mohammad Sadegh Asagri, “Weak amenability of Beurling algebra free products,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 6, no. 28 , pp. 45–55, 2021, [Online]. Available: https://sid.ir/paper/954158/en

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