On the behavior of orbits of uniformly stable semigroups at infinity

• Date: 2006
• Main Authors: Gorbachuk, V. I., Gorbachuk, M. L., Горбачук, В. І., Горбачук, М. Л.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3443
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For uniformly stable bounded analytic $C_0$-semigroups $\{T(t)\} t ≥ 0$ of linear operators in a Banach space $B$, we study the behavior of their orbits $T (t)x, x ∈ B$, at infinity. We also analyze the relationship between the order of approaching the orbit $T (t)x$ to zero as $t → ∞$ and the degre...