Results 21 to 30 of about 216 (102)
Mega-earthquake supercycle [PDF]
Science, 2017 Geophysics![Figure][1] Aftermath of the 2016 magnitude 7.8 Pedernales earthquake in Ecuador PHOTO: ASSOCIATED PRESS The recent magnitude 7.8 Pedernales earthquake in Ecuador killed nearly 700 people and caused widespread destruction. Nocquet et al. also thought it looked rather familiar.
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Studia Mathematica, 2002 Let \(T: H\to H\) be a continuous linear operator on a separable Hilbert space. The orbit of a subset \(C\) of \(H\) under \(T\) is the union of the sets \(C,T(C),T^2(C),\dots\)\ . For a natural number \(n\), an operator is called \(n\)-supercyclic if there is an \(n\)-dimensional subspace of \(H\) whose orbit under \(T\) is dense in \(H\).
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TUPLES OF OPERATORS AND SUPERCYCLICITY [PDF]
International Journal of Pure and Apllied Mathematics, 2013 In this paper, we give sufficient conditions for a tuple of operators to be supercyclic.
B Yousefi, Gh.R. Moghimi
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An Extension of Hypercyclicity for N‐Linear Operators
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 Grosse‐Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N‐linear operators that is inspired by difference equations. Under this new notion, every separable infinite dimensional Fréchet space supports supercyclic N‐linear ...
Juan Bès +2 more
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Powers of Convex‐Cyclic Operators
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 A bounded operator T on a Banach space X is convex cyclic if there exists a vector x such that the convex hull generated by the orbit Tnxn≥0 is dense in X. In this note we study some questions concerned with convex‐cyclic operators. We provide an example of a convex‐cyclic operator T such that the power Tn fails to be convex cyclic.
Fernando León-Saavedra +2 more
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Perturbation of m‐Isometries by Nilpotent Operators
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We prove that if T is an m‐isometry on a Hilbert space and Q an n‐nilpotent operator commuting with T, then T + Q is a (2n + m − 2)‐isometry. Moreover, we show that a similar result for (m, q)‐isometries on Banach spaces is not true.
Teresa Bermúdez +4 more
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Dynamics of composition operators on function spaces defined by local and global properties [PDF]
, 2022 In this paper we consider composition operators on locally convex spaces of functions defined on $\mathbb{R}$. We prove results concerning supercyclicity, power boundedness, mean ergodicity and convergence of the iterates in the strong operator ...
C. Mele +8 more
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The Strong Disjoint Blow‐Up/Collapse Property
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 Let X be a topological vector space, and let ℬ(X) be the algebra of continuous linear operators on X . The operators T1, …, TN ∈ ℬ(X) are disjoint hypercyclic if there is x ∈ X such that the orbit {(T1n(x),…,TNn(x)):n∈ℕ} is dense in X × …×X . Bès and Peris have shown that if T1, …, TN satisfy the Disjoint Blow‐up/Collapse property, then they are ...
Héctor N. Salas, Ajda Fošner
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n-supercyclic and strongly n-supercyclic operators in finite dimensions [PDF]
Studia Mathematica, 2014 We prove that on $\mathbb{R}^n$, there is no $N$-supercyclic operator with $1\leq N< \lfloor \frac{n+1}{2}\rfloor$ i.e. if $\mathbb{R}^n$ has an $N$ dimensional subspace whose orbit under $T$ is dense in $\mathbb{R}^n$, then $N$ is greater than $\lfloor\frac{n+1}{2}\rfloor$. Moreover, this value is optimal.
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On the Existence of Polynomials with Chaotic Behaviour
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 We establish a general result on the existence of hypercyclic (resp., transitive, weakly mixing, mixing, frequently hypercyclic) polynomials on locally convex spaces. As a consequence we prove that every (real or complex) infinite‐dimensional separable Frèchet space admits mixing (hence hypercyclic) polynomials of arbitrary positive degree.
Nilson C. Bernardes Jr. +2 more
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