Results 51 to 60 of about 453,986 (139)

Hypercyclic operators on spaces of block-symmetric analytic functions

Karpatsʹkì Matematičnì Publìkacìï, 2013
The paper contains proof of the hypercyclicity of “symmetric translation” on the algebras of block-symmetric analytic functions of bounded type on an isomorphic copy of $l_1$.
V.V. Kravtsiv, Z.G. Mozhyrovska, A.V. Zagorodnyuk   +2 more
doaj   +3 more sources

CHAOTIC AND HYPERCYCLIC OPERATORS ON SOLID BANACH FUNCTION SPACES

Проблемы анализа, 2020
In this paper, we study hypercyclicity on solid Banach function spaces, and give the characterization for weighted translation operators to be hypercyclic in terms of weight and aperiodic functions.
C-C. Chen, S. M. Tabatabaie
doaj   +1 more source

Hypercyclic Composition Operators

Journal of Vasyl Stefanyk Precarpathian National University, 2015
In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions
openaire   +3 more sources

Chaos for Cosine Operator Functions on Groups

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
Let 1 ≤ p < ∞ and G be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space Lp(G), in terms of the weight condition. In particular, chaotic cosine operator functions and chaotic weighted translations can only occur simultaneously.
Chung-Chuan Chen, Wei-Shih Du
wiley   +1 more source

Operators with hypercyclic Cesaro means [PDF]

Studia Mathematica, 2002
Let \(T\) be a bounded linear operator on complex Banach space \(B\) and consider the arithmetic means \(M_n(T)= (I+ T+\cdots+ T^{n-1})/n\). The operator \(T\) is said to be hypercyclic if there exists a vector \(x\) in \(B\) such that the orbit \(\{T^n x\}\) is dense in \(B\).
openaire   +1 more source

Plank theorems and their applications: A survey

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

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, J. Alberto Conejero, Manuel Maestre   +2 more
wiley   +1 more source

Hypercyclic behaviour of operators in a hypercyclic C0-semigroup [PDF]

, 2007
Let {Tt}t⩾0 be a hypercyclic strongly continuous semigroup of operators. Then each Tt (t>0) is hypercyclic as a single operator, and it shares the set of hypercyclic vectors with the semigroup.
Müller, V., Conejero, Jose A., Peris, A.   +2 more
core   +1 more source

δ‐Almost Periodic Vectors for Bounded Linear Operators: Geometric and Dynamical Structure

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
We introduce δ‐almost periodic vectors for bounded linear operators on Banach spaces, defined by uniform recurrence to the base point within a fixed tolerance δ ≥ 0. This yields a quantitative relaxation of the case δ = 0. We develop basic structural properties of the classes APδ(T), including monotonicity in δ, positive homogeneity, forward invariance
Hadi Obaid Alshammari, Otmane Benchiheb, Marko Kostic   +2 more
wiley   +1 more source

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, María del Pilar Romero-de la Rosa, Manuel Maestre   +2 more
wiley   +1 more source