Spaces of smooth and generalized vectors of the generator of an analytic semigroup and their applications

• Date: 2017
• Main Authors: Gorbachuk, V. M., Gorbachuk, M. L., Горбачук, В. М., Горбачук, М. Л.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1711
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a strongly continuous analytic semigroup $\{ e^{tA}\}_{t\geq 0}$ of linear operators in a Banach space $B$ we investigate some locally convex spaces of smooth and generalized vectors of its generator $A$, as well as the extensions and restrictions of this semigroup to these spaces. We extend Lag...