On supercyclicity of operators from a supercyclic semigroup
Copyright policy )On supercyclicity of operators from a supercyclic semigroup
We show that for every supercyclic strongly continuous operator semigroup ${T_t}_{t\geq 0}$ acting on a complex $\F$-space, every $T_t$ with $t>0$ is supercyclic. Moreover, the set of supercyclic vectors of each $T_t$ with $t>0$ is exactly the set of supercyclic vectors of the entire semigroup.
- Queen's University Belfast United Kingdom
Supercyclic semigroups, 330, One-parameter semigroups and linear evolution equations, Applied Mathematics, /dk/atira/pure/subjectarea/asjc/2600/2604, name=Analysis, /dk/atira/pure/subjectarea/asjc/2600/2604; name=Applied Mathematics, Cyclic vectors, hypercyclic and chaotic operators, name=Applied Mathematics, Supercyclic operators, supercyclic operators, Hypercyclic operators, 47A16, 37A25, /dk/atira/pure/subjectarea/asjc/2600/2603; name=Analysis, hypercyclic operators, Functional Analysis (math.FA), Mathematics - Functional Analysis, hypercyclic semigroups, FOS: Mathematics, /dk/atira/pure/subjectarea/asjc/2600/2603, supercyclic semigroups, Hypercyclic semigroups, Analysis
Supercyclic semigroups, 330, One-parameter semigroups and linear evolution equations, Applied Mathematics, /dk/atira/pure/subjectarea/asjc/2600/2604, name=Analysis, /dk/atira/pure/subjectarea/asjc/2600/2604; name=Applied Mathematics, Cyclic vectors, hypercyclic and chaotic operators, name=Applied Mathematics, Supercyclic operators, supercyclic operators, Hypercyclic operators, 47A16, 37A25, /dk/atira/pure/subjectarea/asjc/2600/2603; name=Analysis, hypercyclic operators, Functional Analysis (math.FA), Mathematics - Functional Analysis, hypercyclic semigroups, FOS: Mathematics, /dk/atira/pure/subjectarea/asjc/2600/2603, supercyclic semigroups, Hypercyclic semigroups, Analysis
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