The theory of dynamical systems of conflict in the framework of functional analysis

• Date: 2023
• Author Affiliations: Volodymyr Koshmanenko — Institute of Mathematics of the National Academy of Science of Ukraine
• Keywords: keywords
• Main Authors: Koshmanenko, Volodymyr, Кошманенко, Володимир
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/530
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

In this article, we give an introduction to the mathematical setting of problems related to the phenomenon of conflict in terms of constructions in Hilbert spaces. The struggle (conflict, game) between opponents (adversaries, players) will be represented by operator transformations of vectors in Hil...