Research program helped in development of algebra and operator theory in Slovenia and also increased the respectability of Slovenian mathematical school. The program continues the research commenced by internationally recognized mathematicians Plemelj and Vidav. It is also important for the development of current and future generations of young researchers. Visiting foreign researchers provide a direct contact for younger researchers with the current development of mathematics. They learn about state-of-the-art achievements in the fields of linear algebra, algebra and operator theory, familiarize with best practices in the research areas. Besides this, gained skills of young researchers participating in the project activities will be also useful for them later on, at their further career development.