Results 61 to 70 of about 1,809 (166)

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
doaj   +1 more source

J-class weighted shifts on the space of bounded sequences of complex numbers

, 2008
We provide a characterization of $J$-class and $J^{mix}$-class unilateral weighted shifts on $l^{\infty}(\mathbb{N})$ in terms of their weight sequences. In contrast to the previously mentioned result we show that a bilateral weighted shift on $l^{\infty}
Costakis, George, Manoussos, Antonios
core   +1 more source

Hypercyclic operators failing the Hypercyclicity Criterion on classical Banach spaces

Journal of Functional Analysis, 2007
Let \(X\) be a topological vector space over \(\mathbb{R}\) or \(\mathbb{C}\). A (continuous, linear) operator \(T:X \to X\) is said to be hypercyclic if there exists some \(x \in X\) whose \(T\)-orbit \(\{T^n x: n\in{\mathbb{N}}\}\) is dense in \(X\). In [J.~Funct.~Anal.\ 99, 179--190 (1991; Zbl 0758.47016)], \textit{D.\,Herrero} posed the problem of ...
Bayart, Frédéric, Matheron, Etienne
openaire   +2 more sources

Metric Semigroups and Groups of Multisets

Researches in Mathematics
We investigate the algebraic and topological properties of sets of complex multisets associated with Banach spaces having symmetric bases. We consider algebraic structures on the sets of multisets and compare some natural metrics on the (semi)groups of ...
D.Y. Dolishniak, A.V. Zagorodnyuk
doaj   +1 more source

On invertible hypercyclic operators [PDF]

Proceedings of the American Mathematical Society, 1992
Let A A be an invertible (bounded linear) operator acting on a complex Banach space X \mathcal {X} . A A is called hypercyclic if there is a vector y y in X \mathcal {X} such that the orbit Orb ⁡ ( A ;
Herrero, Domingo A., Kitai, Carol
openaire   +2 more sources

Invertible Subspace-Hypercyclic Operators

Journal of Mathematical Extension, 2015
A bounded linear operator on a Banach space X is called subspace-hypercyclic for a subspace M if Orb(T, x) \ M is dense in M for a vector x 2 M. In this paper we give conditions under which an operator is M-hypercyclic.
S. Talebi, B. Yousefi, M. Asadipour
doaj  

Tuples with Property of Cyclicity Criterions

Journal of Mathematical Extension, 2012
In this paper we give conditions under which a tuple of operators satisfying the hypercyclicity, supercyclicity and cyclicity criterions.
M. J. Ataei∗, B. Yousefi
doaj  

Dynamics, Operator Theory, and Infinite Holomorphy

, 2014
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Alfred Peris, Manuel Maestre, Miguel Martín, Yun Sung Choi   +3 more
wiley   +1 more source

Free dense subgroups of holomorphic automorphisms [PDF]

, 2013
We show the existence of free dense subgroups, generated by 2 elements, in the holomorphic shear and overshear group of complex-Euklidean space and extend this result to the group of holomorphic automorphisms of Stein manifolds with Density Property ...
Erlend, Fornæss Wold, Rafael B. Andrist
core  

Spaces that admit hypercyclic operators with hypercyclic adjoints [PDF]

Proceedings of the American Mathematical Society, 2005
A continuous linear operator T : X → X T:X\to X is hypercyclic if there is an x ∈ X x\in X such that the orbit { T n x } n ≥ 0 \
openaire   +1 more source