Results 11 to 20 of about 586 (67)

On Some Subspace Codiskcyclic Operators in Banach Spaces

International Journal of Mathematics and Mathematical Sciences
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.
Peter Masong Slaa, Santosh Kumar, Marco Mpimbo   +2 more
doaj   +2 more sources

Notes on subspace-hypercyclic operators

Journal of Mathematical Analysis and Applications, 2013
Let \(X\) be a separable infinite-dimensional Banach space. A recent new notion in linear dynamics was introduced by \textit{B. F. Madore} and \textit{R. A. Martínez-Avendaño} in [J. Math. Anal. Appl. 373, No. 2, 502--511 (2011; Zbl 1210.47023)], namely, the notion of subspace-hypercyclicity.
Hamid Rezaei
openaire   +4 more sources

Disjoint subspace-hypercyclic operators on separable Banach spaces

Annals of Functional Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Renyu, Chen, Xiang, Zhou, Zehua
openaire   +3 more sources

Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts. In particular, we show that abstract differential operators and dual operators to operators of multiplication in graded Hilbert spaces are similar to backward weighted shift operators.
Andriy Zagorodnyuk, Zoriana Novosad, Ismat Beg   +2 more
wiley   +1 more source

Subspace hypercyclicity for Toeplitz operators

Journal of Mathematical Analysis and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martínez-Avendaño, Rubén A., Zatarain-Vera, Oscar   +1 more
openaire   +1 more source

Hypercyclic algebras for D-multiples of convolution operators [PDF]

, 2018
It is shown in this short note the existence, for each nonzero member of the ideal of D-multiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.Plan Andaluz de Investigación (
Bernal González, Luis, Calderón Moreno, María del Carmen   +1 more
core   +1 more source

Commutation relations and hypercyclic operators [PDF]

, 2012
In this paper we establish hypercyclicity of continuous linear operators on $H(\mathbb{C})$ that satisfy certain commutation relations.Comment: Published in Archiv der Mathematik, the final publication is available at springerlink ...
Kim, Vitaly E.
core   +1 more source

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

Simultaneous universality [PDF]

, 2017
In this paper, the notion of simultaneous universality is introduced, concerning operators having orbits that simultaneously approximate any given vector.
Bernal González, Luis, Jung, Andreas
core   +2 more sources

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