• especially functional analysis, a hypercyclic operator on a topological vector space X is a continuous linear operator T: X → X such that there is a vector...
    4 KB (528 words) - 11:31, 12 March 2024
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    continuous linear map on a topological vector space) is usually called hypercyclic operator. A related idea is expressed by the wandering set. Lemma: If X is...
    26 KB (4,728 words) - 06:09, 19 August 2024
  • Thumbnail for Invariant subspace problem
    Invariant subspace problem (category Operator theory)
    "The invariant subspace problem for a class of Banach spaces, 2: hypercyclic operators", Israel Journal of Mathematics, 63 (1): 1–40, doi:10.1007/BF02765019...
    17 KB (2,208 words) - 21:48, 20 August 2024
  • Thumbnail for Charles Read (mathematician)
    Charles Read (mathematician) (category Operator theorists)
    invariant subspace problem. Read has also published on Banach algebras and hypercyclicity; in particular, he constructed the first example of an amenable, commutative...
    7 KB (816 words) - 21:16, 11 May 2024