CSpace  > 数学所
operatoralgebrasassociatedwithmultiplicativeconvolutionsofarithmeticfunctions
Dong Aiju1; Huang Linzhe2; Xue Boqing2
2018
Source Publicationsciencechinamathematics
ISSN1674-7283
Volume61Issue:9Pages:1665
AbstractThe action of a"center dot on l (2)(a"center dot) is studied in association with the multiplicative structure of a"center dot. Then the maximal ideal space of the Banach algebra generated by a"center dot is homeomorphic to the product of closed unit disks indexed by primes, which reflects the fundamental theorem of arithmetic. The C*-algebra generated by a"center dot does not contain any non-zero projection of finite rank. This assertion is equivalent to the existence of infinitely many primes. The von Neumann algebra generated by a"center dot is B(l (2)(a"center dot)), the set of all bounded operators on l (2)(a"center dot). Moreover, the differential operator on l (2)(a"center dot, 1/n(n+1)) defined by acf = mu * f is considered, where mu is the Mobius function. It is shown that the spectrum sigma(ac) contains the closure of {zeta(s)(-1): Re(s) > 1}. Interesting problems concerning ac are discussed.
Language英语
Funding Project[National Natural Science Foundation of China] ; [Natural Science Basic Research Plan in Shaanxi Province of China]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/49036
Collection数学所
Affiliation1.西安文理学院
2.中国科学院数学与系统科学研究院
Recommended Citation
GB/T 7714
Dong Aiju,Huang Linzhe,Xue Boqing. operatoralgebrasassociatedwithmultiplicativeconvolutionsofarithmeticfunctions[J]. sciencechinamathematics,2018,61(9):1665.
APA Dong Aiju,Huang Linzhe,&Xue Boqing.(2018).operatoralgebrasassociatedwithmultiplicativeconvolutionsofarithmeticfunctions.sciencechinamathematics,61(9),1665.
MLA Dong Aiju,et al."operatoralgebrasassociatedwithmultiplicativeconvolutionsofarithmeticfunctions".sciencechinamathematics 61.9(2018):1665.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Dong Aiju]'s Articles
[Huang Linzhe]'s Articles
[Xue Boqing]'s Articles
Baidu academic
Similar articles in Baidu academic
[Dong Aiju]'s Articles
[Huang Linzhe]'s Articles
[Xue Boqing]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Dong Aiju]'s Articles
[Huang Linzhe]'s Articles
[Xue Boqing]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.