Occasionally attracting compact sets and compact-supercyclicity
| dc.creator | Storozhuk, K. | |
| dc.date | 2006-04-07 | |
| dc.date.accessioned | 2026-07-07T07:10:38Z | |
| dc.date.available | 2026-07-07T07:10:38Z | |
| dc.description | Let $X$ be a real or complex Banach space and $T_t:X\to X$ is a power bounded operator (or a $C_0$-semigroup). If there exists a "occasionally" attracting compact subset K (for each x$ in unit ball $\liminf_n ρ(T^n x, K)=0$ then there exists attracting finite-dimensional subspace $L$ (for each x in X $\lim_n ρ(T^n x, L)=0$. Also we define the compact-supercyclicity. Each infinity-dimentional $X$ has no compact-supercyclic isometries. If $T$ is a supercyclic and power bounded that $T^nx$ vanishes for each $x$. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604159 | |
| dc.identifier | http://arxiv.org/abs/math/0604159 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111479 | |
| dc.subject | Functional Analysis | |
| dc.subject | 43A60; 47A16 | |
| dc.title | Occasionally attracting compact sets and compact-supercyclicity | |
| dc.type | text |