Results 11 to 20 of about 2,965 (120)

Simultaneous universality [PDF]

open access: yes, 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

$q$-Frequent hypercyclicity in spaces of operators [PDF]

open access: yes, 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.
Gupta, Manjul, Mundayadan, Aneesh
core   +1 more source

The Necessary Condition of Hypercyclicity of Truncated Toeplitz Operator

open access: yesJournal of Physics: Conference Series, 2021
We study hypercyclicity of truncated Toeplitz operators in the model space H2(D) θ θH2(Ө) where θ is inner function and H2(D) is Hardy space. In this paper, the necessary condition of hypercyclicity of truncated Toeplitz operator is given.
Ali A. Shukur
semanticscholar   +1 more source

M-hypercyclicity of C0-semigroup and Svep of its generator

open access: yesConcrete Operators, 2021
Let 𝒯 = (Tt)t≥0 be a C0-semigroup on a separable infinite dimensional Banach space X, with generator A. In this paper, we study the relationship between the single valued extension property of generator A, and the M-hypercyclicity of the C0-semigroup ...
A. Toukmati
semanticscholar   +1 more source

Frequently hypercyclic translation semigroups [PDF]

open access: yes, 2014
Frequent hypercyclicity for translation $C_0$-semigroups on weighted spaces of continuous functions is investigated. The results are achieved by establishing an analogy between frequent hypercyclicity for the translation semigroup and for weighted pseudo-
Mangino, Elisabetta M.   +1 more
core   +5 more sources

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

open access: yesComplexity, 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

Frequently hypercyclic bilateral shifts [PDF]

open access: yes, 2017
It is not known if the inverse of a frequently hypercyclic bilateral weighted shift on $c_0(\mathbb{Z})$ is again frequently hypercyclic. We show that the corresponding problem for upper frequent hypercyclicity has a positive answer.
Grosse-Erdmann, Karl-G.
core   +2 more sources

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

open access: yesAbstract 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   +2 more
wiley   +1 more source

Frequently hypercyclic semigroups [PDF]

open access: yes, 2010
We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More precisely, we give a criterion (sufficient condition) for a semigroup to be frequently hypercyclic, whose formulation depends on the Pettis integral ...
Mangino, E. M., Peris, A.
core   +1 more source

S‐Mixing Tuple of Operators on Banach Spaces

open access: yesJournal 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   +3 more
wiley   +1 more source

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