Results 41 to 50 of about 453,986 (139)

Cyclic behaviour of Volterra composition operators [PDF]

, 2011
We determine the cyclic behaviour of Volterra composition operators, which are defined as $(V_\phif)(x) =\int_0^{\phi(x)}f(t) dt$, $f ? L^p[0, 1]$, 1\leq p <\infty$,where $?$ is a measurable self-map of [0, 1].
Stanislav Shkarin, Alfonso Montes-Rodríguez, Rodriguez-Martinez, Alejandro, Montes-Rodriguez, A., Alejandro Rodríguez-Martínez, Shkarin, Stanislav   +5 more
core   +1 more source

q-Frequent hypercyclicity in spaces of operators [PDF]

Monatshefte für Mathematik, 2016
We provide conditions for a linear map of the form $C_{R,T}(S)=RST$ to be $q$-frequently hypercyclic on algebras of operators on separable Banach spaces. In particular, if $R$ is a bounded operator satisfying the $q$-Frequent Hypercyclicity Criterion, then the map $C_{R}(S)$=$RSR^*$ is shown to be $q$-frequently hypercyclic on the space $\mathcal{K}(H)$
Gupta, Manjul, Mundayadan, Aneesh
openaire   +2 more sources

Various notions of subspace hypercyclic power operators and their direct sums in operator spaces [PDF]

European Journal of Mathematics and Applications
Subspace hypercyclic operators forms a very important class of operators in operator spaces.A lot of their properties have been studied over along period of time, however, complete characterization of this property has not been done.
David Otwisa Wechuli, Benard Okelo, Willy Kangogo   +2 more
doaj   +1 more source

Supercyclic and Hypercyclic Generalized Weighted Backward Shifts over a Non-Archimedean $c_0\left(\mathbb{N}\right)$ Space

Mathematics, 2021
In the present paper, we propose to study generalized weighted backward shifts BB over non-Archimedean c0(N) spaces; here, B=(bij) is an upper triangular matrix with supi,j|bij|
Farrukh Mukhamedov, Otabek Khakimov, Abdessatar Souissi   +2 more
doaj   +1 more source

Generalized bilateral shifts of higher multiplicity [PDF]

Arab Journal of Mathematical Sciences
PurposeSince weighted shifts play a vital role in linear dynamics so in 2021 Chan & Sanders considered weighted shift operators on ℓp(Z) that are not hypercyclic and proved that under certain conditions they can be factorized as products of hypercyclic ...
Munmun Hazarika, Silpi Sikha Das
doaj   +1 more source

Countably Generated Algebras of Analytic Functions on Banach Spaces

Axioms, 2023
In the paper, we study various countably generated algebras of entire analytic functions on complex Banach spaces and their homomorphisms. Countably generated algebras often appear as algebras of symmetric analytic functions on Banach spaces with respect
Zoriana Novosad, Svitlana Vasylyshyn, Andriy Zagorodnyuk   +2 more
doaj   +1 more source

Information Characteristics, Processes, and Mechanisms of Self‐Organization Evolution

Complexity, Volume 2019, Issue 1, 2019., 2019
Self‐organization is a general mechanism for the creation of new structural pattern of systems. A pattern, in essence, is a relationship, an architecture, a way of organizing, and a structure of order, which can only be explained by information activities.
Kun Wu, Qiong Nan, Quanmin Zhu
wiley   +1 more source

Hypercyclic sequences of operators [PDF]

Studia Mathematica, 2006
A sequence (Tn) of bounded linear operators between Banach spaces X,Y is said to be hypercyclic if there exists a vector x ∈ X such that the orbit {Tnx} is dense in Y . The paper gives a survey of various conditions that imply the hypercyclicity of (Tn) and studies relations among them.
León-Saavedra, F., Müller, V. (Vladimír)   +1 more
openaire   +2 more sources

Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions

Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018
The main aim of this paper is to investigate generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions to a class of abstract (semilinear) multiterm fractional differential inclusions with Caputo derivatives. We illustrate our abstract results with several examples and possible applications.
G. M. N’Guérékata, Marko Kostić, Khalil Ezzinbi   +2 more
wiley   +1 more source

S‐Mixing Tuple of Operators on Banach Spaces

Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016
We consider the question: what is the appropriate formulation of Godefroy‐Shapiro criterion for tuples of operators? We also introduce a new notion about tuples of operators, S‐mixing, which lies between mixing and weakly mixing. We also obtain a sufficient condition to ensure a tuple of operators to be S‐mixing.
Wei Wang, Yonglu Shu, Xingzhong Wang, Enrique Llorens-Fuster   +3 more
wiley   +1 more source