Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Hypercyclic_operator> ?p ?o. }
Showing items 1 to 27 of
27
with 100 items per page.
- Hypercyclic_operator abstract "In mathematics, especially functional analysis, a hypercyclic operator on a Banach space X is a bounded linear operator T: X → X such that there is a vector x ∈ X such that the sequence {Tn x: n = 0, 1, 2, …} is dense in the whole space X. In other words, the smallest closed invariant subset containing x is the whole space. Such an x is then called hypercyclic vector. There is no hypercyclic operator in finite-dimensional spaces, but the property of hypercyclicity in spaces of infinite dimension is not a rare phenomenon: many operators are hypercyclic.The hypercyclicity is a special case of broader notions of topological transitivity (see topological mixing), and universality. Universality in general involves a set of mappings from one topological space to another (instead of a sequence of powers of a single operator mapping from X to X), but has a similar meaning to hypercyclicity. Examples of universal objects were discovered already in 1914 by Julius Pál, in 1935 by Marcinkiewicz, or MacLane in 1952. However, it was not until the 1980s when hypercyclic operators started to be more intensively studied.".
- Hypercyclic_operator wikiPageID "26492417".
- Hypercyclic_operator wikiPageRevisionID "575200320".
- Hypercyclic_operator authorlink "Charles Read".
- Hypercyclic_operator first "Charles".
- Hypercyclic_operator hasPhotoCollection Hypercyclic_operator.
- Hypercyclic_operator last "Read".
- Hypercyclic_operator year "1988".
- Hypercyclic_operator subject Category:Functional_analysis.
- Hypercyclic_operator subject Category:Invariant_subspaces.
- Hypercyclic_operator subject Category:Operator_theory.
- Hypercyclic_operator type Abstraction100002137.
- Hypercyclic_operator type Attribute100024264.
- Hypercyclic_operator type InvariantSubspaces.
- Hypercyclic_operator type MathematicalSpace108001685.
- Hypercyclic_operator type Set107999699.
- Hypercyclic_operator type Space100028651.
- Hypercyclic_operator type Subspace108004342.
- Hypercyclic_operator comment "In mathematics, especially functional analysis, a hypercyclic operator on a Banach space X is a bounded linear operator T: X → X such that there is a vector x ∈ X such that the sequence {Tn x: n = 0, 1, 2, …} is dense in the whole space X. In other words, the smallest closed invariant subset containing x is the whole space. Such an x is then called hypercyclic vector.".
- Hypercyclic_operator label "Hypercyclic operator".
- Hypercyclic_operator label "Гиперциклический оператор".
- Hypercyclic_operator sameAs m.0bh7zmc.
- Hypercyclic_operator sameAs Q4138755.
- Hypercyclic_operator sameAs Q4138755.
- Hypercyclic_operator sameAs Hypercyclic_operator.
- Hypercyclic_operator wasDerivedFrom Hypercyclic_operator?oldid=575200320.
- Hypercyclic_operator isPrimaryTopicOf Hypercyclic_operator.