Results 31 to 40 of about 142 (132)
Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators
مجلة بغداد للعلوم, 2010 Let be an infinite dimensional separable complex Hilbert space and let , where is the Banach algebra of all bounded linear operators on . In this paper we prove the following results. If is a operator, then 1.
Baghdad Science Journal
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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 operators on Lipschitz spaces [PDF]
Математичні Студії, 2013 We consider hypercyclic operators on free Banach spaces and little Lipschitz spaces which are some kind of generalizations of shift operators and composition operators respectively.
M. V. Dubey +2 more
doaj
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 +2 more
wiley +1 more source
THE LINEAR DYNAMIC OF A HYPERCYCLIC TUPLE OF OPERATORS SUCH AS BIHYPERCYCLICITY GENERATOR
Revista de Matemática: Teoría y Aplicaciones, 2017 In this paper we study the art of recent work Grosse-Erdmann & Kim [6], highlighting as a hypercyclic tuples of operators is a source to build bihypercyclic bilinear mappings.
NELYDA VARGAS DUQUE
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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 +3 more
wiley +1 more source
Operators with hypercyclic Cesaro means [PDF]
Studia Mathematica, 2002 Let \(T\) be a bounded linear operator on complex Banach space \(B\) and consider the arithmetic means \(M_n(T)= (I+ T+\cdots+ T^{n-1})/n\). The operator \(T\) is said to be hypercyclic if there exists a vector \(x\) in \(B\) such that the orbit \(\{T^n x\}\) is dense in \(B\).
openaire +1 more source
Rate of Growth of Hypercyclic and Frequently Hypercyclic Functions for the Dunkl Operator [PDF]
Mediterranean Journal of Mathematics, 2016 For the Dunkl operator $Λ_α$ $(α> -1/2)$ on the space of entire functions on the complex space C, the critical rate of growth for the integral means $M_p(f,r)$ of their hypercyclic functions $f$ is obtained. The rate of growth of the corresponding frequently hypercyclic functions is also analyzed.
Bernal González, Luis +1 more
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Chaos for Cosine Operator Functions on Groups
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 Let 1 ≤ p < ∞ and G be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space Lp(G), in terms of the weight condition. In particular, chaotic cosine operator functions and chaotic weighted translations can only occur simultaneously.
Chung-Chuan Chen, Wei-Shih Du
wiley +1 more source
HYPERCYCLIC OPERATOR WEIGHTED SHIFTS
Bulletin of the Korean Mathematical Society, 2004 A bounded linear operator \(T\) on a Hilbert space \(H\) is said to be hypercyclic if, for some \(x \in H\), the orbit \(\{T^{n}x : n=0,1,2,\dots \}\) is dense in \(H\). In the paper under review, the authors give a characterization for hypercyclicity of a bilateral operator weighted shift \(T\) on the Hilbert space \(L^{2}(K)\).
Hazarika, Munmun, Arora, S. C.
openaire +3 more sources