首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Equivariant Embeddings of the n-Dimensional Space into a Hilbert Space
Authors:M Gorbulsky
Institution:(1) St.Petersburg State University, Russia
Abstract:The present paper is devoted to the study of equivariant embeddings of the n-dimensional space into a Hilbert space. We consider a representation of a group of similarities. The existence of a cocycle for this representation implies the existence of an isometric embedding of a metric group into the Hilbert space. Then we describe all cocycles of a representation of the additive group of real numbers and construct an embedding of the n-dimensional space with metric d(x,y)=|x-y|agr into the Hilbert space. Bibliography: 5 titles.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号