A5019260675- Holomorphic and Operator Theory
- Mathematical Dynamics and Fractals
- Advanced Banach Space Theory
- Advanced Topics in Algebra
- Analytic and geometric function theory
- Quantum chaos and dynamical systems
- Spectral Theory in Mathematical Physics
- Approximation Theory and Sequence Spaces
- advanced mathematical theories
- Advanced Topology and Set Theory
- Mathematical Analysis and Transform Methods
- Advanced Operator Algebra Research
- Advanced Differential Equations and Dynamical Systems
- Meromorphic and Entire Functions
- Algebraic and Geometric Analysis
- Nonlinear Differential Equations Analysis
- Chaos control and synchronization
- Advanced Mathematical Modeling in Engineering
- Functional Equations Stability Results
- Geometry and complex manifolds
- Advanced Harmonic Analysis Research
- Stability and Controllability of Differential Equations
- Fixed Point Theorems Analysis
- Machine Fault Diagnosis Techniques
- Markov Chains and Monte Carlo Methods
Universitat Politècnica de València
2015-2024
Universidade Federal do Rio de Janeiro
2023
Ibero-American University Puebla
2019
Ibero American University
2019
Polytechnic University of Puerto Rico
1991-2016
Centre de Recerca Matemàtica
2013
Kent State University
2005
Universidad Complutense de Madrid
1996
We obtain new characterizations of Li–Yorke chaos for linear operators on Banach and Fréchet spaces. also offer conditions under which an operator admits a dense set or manifold irregular vectors. Some our general results are applied to composition adjoint multipliers spaces holomorphic functions.
Motivated by a recent investigation of Costakis et al. on the notion recurrence in linear dynamics, we study various stronger forms for operators, particular that frequent recurrence. We study, among other things, relationship between type and corresponding hypercyclicity, influence power boundedness, interplay spectral properties. obtain, particular, Ansari- L\'eon-M\"uller-type theorems $\mathcal{F}$-recurrence under very weak assumptions Furstenberg family $\mathcal{F}$. This allows us,...
Our aim in this paper is to prove that every separable infinite-dimensional complex Banach space admits a topologically mixing holomorphic uniformly continuous semigroup and characterize the property for semigroups of operators. A concrete chara
Backward shift operators provide a general class of linear dynamical systems on infinite dimensional spaces. Despite linearity, chaos is phenomenon that occurs within this context. In paper we give characterizations for in the sense Auslander and Yorke [1980] Devaney [1989] weighted backward perturbations identity by shifts wide sequence We cover unify rich variety known examples different branches applied mathematics. Moreover, new chaotic operators. particular prove differential operator I...
Distributional chaos for strongly continuous semigroups is studied and characterized. It shown to be equivalent the existence of a distributionally irregular vector. Finally, sufficient condition distributional on point spectrum generator semigroup presented. An application generated in $L^2(R)$ by translation Ornstein-Uhlenbeck operator also given.
Abstract We study, for a continuous linear operator T acting on an F-space X , when the direct sum $$T\oplus T$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>T</mml:mi> <mml:mo>⊕</mml:mo> </mml:mrow> </mml:math> is recurrent space $$X\oplus X$$ <mml:mi>X</mml:mi> . In particular: we establish analogous notion recurrence to that of (topological) weak-mixing transitivity/hypercyclicity, namely quasi-rigidity; and construct but not quasi-rigid each separable...