Results 91 to 100 of about 453,986 (139)
Linear Structure of Hypercyclic Vectors [PDF]
, 1997 A vectorxin a Banach space B is called hypercyclic for a bounded linear operatorT:B→B if the orbit {Tnx:n⩾1} is dense in B. Our main result states that ifTis a compact perturbation of an operator of norm ⩽1 and satisfies an appropiate extra hypothesis ...
León-Saavedra, Fernando +1 more
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Recurrence properties of hypercyclic operators [PDF]
, 2014 We generalize the notions of hypercyclic operators, $\mathfrak{U}$-frequently hypercyclic operators and frequently hypercyclic operators by introducing a new notion of hypercyclicity, called $\mathcal{A}$-frequent hypercyclicity.
Bès, Juan +3 more
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Complemented hypercyclic subspaces
, 2007 A continuous linear operator T : X -> X is said to be hypercyclic if there exists a vector x is an element of X, called hypercyclic for T, such that {T(n)x}(n >= 0) is dense.
Petersson, Henrik,
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Extensions and derivatives of subsymmetric functions
Frontiers in Applied Mathematics and StatisticsIn the paper, subsymmetric functions on a real or complex Banach space X with a subsymmetric basis are investigated. It is known that subsymmetric polynomials on the Banach space ℓp, 1 ≤ p < ∞ can be simultaneously extended to polynomials on ℓp(𝔄) for
Daryna Dolishniak +2 more
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Invariant manifolds of hypercyclic vectors
, 1993 We show that any hypercyclic operator on Hilbert space has a dense, invariant linear manifold consisting, except for zero, entirely of hypercyclic vectors.
Paul S. Bourdon
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Hypercyclic differentiation operators
, 1999 8 ...
Aron, Richard M., Bes, Juan P.
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Remarks on common hypercyclic vectors [PDF]
, 2010 We treat the question of existence of common hypercyclic vectors for families of continuous linear operators. It is shown that for any continuous linear operator T on a complex Fréchet space X and a set ? ?
Shkarin, Stanislav
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On numerically hypercyclic operators
, 2013 According to Kim, Peris and Song, a continuous linear operator $T$ on a complex Banach space $X$ is called {\it numerically hypercyclic} if the numerical orbit $\{f(T^nx):n\in\N\}$ is dense in $\C$ for some $x\in X$ and $f\in X^*$ satisfying $\|x\|=\|f\|=f(x)=1$. They have characterized numerically hypercyclic weighted shifts and provided an example of
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Some characterizations of disjoint topological transitivity on Orlicz spaces. [PDF]
J Inequal Appl, 2018 Chen CC, Du WS.
europepmc +1 more source
Existence and stability of stationary solutions to spatially extended autocatalytic and hypercyclic systems under global regulation and with nonlinear growth rates. [PDF]
Nonlinear Anal Real World Appl, 2010 Bratus AS +2 more
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