A Hypercyclic Operator whose Adjoint is Also Hypercyclic
Copyright policy ) Héctor Salas;
A Hypercyclic Operator whose Adjoint is Also Hypercyclic
An operator T T acting on a Hilbert space H H is hypercyclic if, for some vector x x in H H , the orbit { T n x : n ≥ 0 } \{ {T^n}x:n \geq 0\} is dense in H H . We show the existence of a hypercyclic operator—in fact, a bilateral weighted shift—whose adjoint is also hypercyclic. This answers positively a question of D. A. Herrero.
- University of Puerto Rico System United States
- State University of New York at Potsdam United States
- State University of New York at New Paltz United States
hypercylic operator, bilateral shift, Special classes of linear operators, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
hypercylic operator, bilateral shift, Special classes of linear operators, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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Citations provided by BIP!
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 42
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