boundednessandspectrumofmultiplicativeconvolutionoperatorsinducedbyarithmeticfunctions
文献类型：期刊论文
| 作者 | Gebremeskel Kibrom G; Huang Linzhe |
| 刊名 | actamathematicasinicaenglishseries
 |
| 出版日期 | 2019 |
| 卷号 | 35期号:8页码:1300 |
| ISSN号 | 1439-8516 |
| 英文摘要 | In this paper, we consider a multiplicative convolution operator Mf acting on a Hilbert spaces l(2)(N,omega). In particular, we focus on the operators M1 and M mu, where mu is the Mobius function. We investigate conditions on the weight omega under which the operators M1 and M mu are bounded. We show that for a positive and completely multiplicative function f, M1 is bounded on l(2)(N,f(2))if and only if parallel to f parallel to(1) 1. As an application, we obtain some results on the spectrum of M1 M1 and M mu M mu. Moreover, von Neumann algebra generated by a certain family of bounded operators is also considered. |
| 资助项目 | [Templeton Religion Trust] ; [Chinese Academy of Sciences] |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/37718]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Gebremeskel Kibrom G,Huang Linzhe. boundednessandspectrumofmultiplicativeconvolutionoperatorsinducedbyarithmeticfunctions[J]. actamathematicasinicaenglishseries,2019,35(8):1300. |
| APA | Gebremeskel Kibrom G,&Huang Linzhe.(2019).boundednessandspectrumofmultiplicativeconvolutionoperatorsinducedbyarithmeticfunctions.actamathematicasinicaenglishseries,35(8),1300. |
| MLA | Gebremeskel Kibrom G,et al."boundednessandspectrumofmultiplicativeconvolutionoperatorsinducedbyarithmeticfunctions".actamathematicasinicaenglishseries 35.8(2019):1300. |
入库方式： OAI收割
来源：数学与系统科学研究院
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