Singular locally scalar representations of quivers in Hilbert spaces and separating functions

• Date: 2004
• Main Authors: Redchuk, I. K., Roiter, A. V., Редчук, И. К., Ройтер, А. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3799
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider locally scalar representations of extended Dynkin graphs in Hilbert spaces. The relation between these representations and the function ρ( n ) = 1 + ( n − 1 ) / ( n + 1 ) is established. We construct a family of separating functions that generalize the function ρ and play a similar role...