About *-Representations of Polynomial Semilinear Relations

• Date: 2009
• Main Author: Omel'chenko, P.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/5708
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: About *-representations of polynomial semilinear relations / P.V. Omel'chenko // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 168-176. — Бібліогр.: 14 назв. — англ.

In the present paper we study *-representations of semilinear relations with polynomial characteristic functions. For any finite simple non-oriented graph Г we construct a polynomial characteristic function such that Г is its graph. Full description of graphs which satisfy polynomial (degree one and...