jaberi和mahmoodi结果的反例

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Australian Mathematical Society Pub Date : 2023-08-10 DOI:10.1017/s0004972723000813

A. Sahami, S. Shariati

{"title":"jaberi和mahmoodi结果的反例","authors":"A. Sahami, S. Shariati","doi":"10.1017/s0004972723000813","DOIUrl":null,"url":null,"abstract":"\n\t We show that \n\t \n\t\t\n\t\t\n$\\ell ^1(\\mathbb {N}_\\wedge )$\n\n\t \n\t is \n\t \n\t\t\n\t\t\n$\\varphi $\n\n\t \n\t -amenable for each multiplicative linear functional \n\t \n\t\t\n\t\t\n$\\varphi :\\ell ^1(\\mathbb {N}_\\wedge )\\rightarrow \\mathbb {C}.$\n\n\t \n\t This is a counterexample to the final corollary of Jaberi and Mahmoodi [‘On \n\t \n\t\t\n\t\t\n$\\varphi $\n\n\t \n\t -amenability of dual Banach algebras’, Bull. Aust. Math. Soc.105 (2022), 303–313] and shows that the final theorem in that paper is not valid.","PeriodicalId":50720,"journal":{"name":"Bulletin of the Australian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A COUNTEREXAMPLE TO A RESULT OF JABERI AND MAHMOODI\",\"authors\":\"A. Sahami, S. Shariati\",\"doi\":\"10.1017/s0004972723000813\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n\\t We show that \\n\\t \\n\\t\\t\\n\\t\\t\\n$\\\\ell ^1(\\\\mathbb {N}_\\\\wedge )$\\n\\n\\t \\n\\t is \\n\\t \\n\\t\\t\\n\\t\\t\\n$\\\\varphi $\\n\\n\\t \\n\\t -amenable for each multiplicative linear functional \\n\\t \\n\\t\\t\\n\\t\\t\\n$\\\\varphi :\\\\ell ^1(\\\\mathbb {N}_\\\\wedge )\\\\rightarrow \\\\mathbb {C}.$\\n\\n\\t \\n\\t This is a counterexample to the final corollary of Jaberi and Mahmoodi [‘On \\n\\t \\n\\t\\t\\n\\t\\t\\n$\\\\varphi $\\n\\n\\t \\n\\t -amenability of dual Banach algebras’, Bull. Aust. Math. Soc.105 (2022), 303–313] and shows that the final theorem in that paper is not valid.\",\"PeriodicalId\":50720,\"journal\":{\"name\":\"Bulletin of the Australian Mathematical Society\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-08-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Australian Mathematical Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1017/s0004972723000813\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Australian Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/s0004972723000813","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们证明$\ell ^1(\mathbb {N}_\wedge )$是$\varphi $ -适用于每个乘法线性泛函$\varphi :\ell ^1(\mathbb {N}_\wedge )\rightarrow \mathbb {C}.$这是Jaberi和Mahmoodi的最后一个推论的反例[关于$\varphi $ -对偶巴拿赫代数的适用性]，Bull。是的。数学。Soc.105(2022)， 303-313]并证明了该论文的最终定理是无效的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A COUNTEREXAMPLE TO A RESULT OF JABERI AND MAHMOODI

We show that

$\ell ^1(\mathbb {N}_\wedge )$

$\varphi $

-amenable for each multiplicative linear functional

$\varphi :\ell ^1(\mathbb {N}_\wedge )\rightarrow \mathbb {C}.$

This is a counterexample to the final corollary of Jaberi and Mahmoodi [‘On

$\varphi $

-amenability of dual Banach algebras’, Bull. Aust. Math. Soc.105 (2022), 303–313] and shows that the final theorem in that paper is not valid.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Bulletin of the Australian Mathematical Society 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

149

审稿时长

4-8 weeks

期刊介绍： Bulletin of the Australian Mathematical Society aims at quick publication of original research in all branches of mathematics. Papers are accepted only after peer review but editorial decisions on acceptance or otherwise are taken quickly, normally within a month of receipt of the paper. The Bulletin concentrates on presenting new and interesting results in a clear and attractive way. Published Bi-monthly Published for the Australian Mathematical Society