Results 51 to 60 of about 559 (116)
Supercyclicity and Hypercyclicity of an Isometry Plus a Nilpotent
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 Suppose that X is a separable normed space and the operators A and Q are bounded on X. In this paper, it is shown that if AQ = QA, A is an isometry, and Q is a nilpotent then the operator A + Q is neither supercyclic nor weakly hypercyclic. Moreover, if the underlying space is a Hilbert space and A is a co‐isometric operator, then we give sufficient ...
S. Yarmahmoodi +3 more
wiley +1 more source
On Some Subspace Codiskcyclic Operators in Banach Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper introduces the concepts of subspace codiskcyclicity and subspace codisk transitivity, providing criteria and examples that highlight their distinct properties compared to traditional codiskcyclic operators and hypercyclic operators. The paper also demonstrates the existence of subspace codiskcyclic operators in finite‐dimensional Banach ...
Peter Masong Slaa +3 more
wiley +1 more source
Nonwandering operators in Banach space
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 24, Page 3895-3908, 2005., 2005 We introduce nonwandering operators in infinite‐dimensional separable Banach space. They are new linear chaotic operators and are relative to hypercylic operators, but different from them. Firstly, we show some examples for nonwandering operators in some typical infinite‐dimensional Banach spaces, including Banach sequence space and physical background
Lixin Tian +3 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This article extends Alfredo Peris’s work on chaos in set‐valued dynamics by providing new characterizations and applications of transitivity and mixing properties. Peris demonstrated that the topological transitivity of a set‐valued map is closely related to the weak mixing property of the individual map.
Illych Alvarez, Mehmet Ünver
wiley +1 more source
Dynamics, Operator Theory, and Infinite Holomorphy
, 2014 Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Alfred Peris +3 more
wiley +1 more source
Existence and nonexistence of hypercyclic semigroups [PDF]
, 2007 In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any separable infinitedimensional Banach space that is very different from –and considerably shorter than– the one recently given by ...
Bernal González, Luis +1 more
core
Subspace-hypercyclic conditional weighted composition operators on L^p-spaces [PDF]
Mathematical Inequalities & ApplicationsSummary: A conditional weighted composition operator \(T_u : L^p (\Sigma) \rightarrow L^p (\mathcal{A})(1\leqslant p
M. R. Azimi, Z. Naghdi
openalex +3 more sources
A new class of frequently hypercyclic operators [PDF]
, 2010 We study a hypercyclicity property of linear dynamical systems: a bounded linear operator T acting on a separable infinite-dimensional Banach space X is said to be hypercyclic if there exists a vector x in X such that {T^{n}x : n>0} is dense in X, and ...
Grivaux, Sophie
core
, 2013 In this note we prove a Birkhoff type transitivity theorem for continuous maps acting on non-separable completely metrizable spaces and we give some applications for dynamics of bounded linear operators acting on complex Fr\'{e}chet spaces. Among them we
Manoussos, Antonios
core +1 more source
Linear Subspaces of Hypercyclic Vectors
Real Analysis Exchange, 2018 In my talk I presented results from previous papers on the existence of hypercyclic algebras for convolution operators acting on the space of entire functions.
openaire +2 more sources