Results 41 to 50 of about 1,158,171 (157)
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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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 \(B\).
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INVERSE OF FREQUENTLY HYPERCYCLIC OPERATORS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2019 We show that there exists an invertible frequently hypercyclic operator on $\ell ^1(\mathbb {N})$ whose inverse is not frequently hypercyclic.
Q. Menet
semanticscholar +1 more source
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.
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Epsilon-hypercyclic operators [PDF]
Ergodic Theory and Dynamical Systems, 2009 AbstractLet X be a separable infinite-dimensional Banach space, and T a bounded linear operator on X; T is hypercyclic if there is a vector x in X with dense orbit under the action of T. For a fixed ε∈(0,1), we say that T is ε-hypercyclic if there exists a vector x in X such that for every non-zero vector y∈X there exists an integer n with $\|T^nx-y ...
Badea, Catalin +2 more
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Chaotic and frequently hypercyclic operators in the weighted space of entire functions
Mathematics and Theoretical Computer ScienceWe study the issues of chaoticity and frequently hypercyclicity of various operators in the weighted space Fφ(Cn), defined as the projective limit of Banach spaces. Theorems 8–13 consider the cases of differentiation and shift operators, as well as their
A. I. Rakhimova
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