Results 51 to 60 of about 990 (118)

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

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  

An Extension of Hypercyclicity for N-Linear Operators

Abstract and Applied Analysis, 2014
Grosse-Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N-linear operators that is inspired by difference equations ...
Juan Bès, J. Alberto Conejero
doaj   +1 more source

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  

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

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

The concept and properties of quasi-rigid $C_{0}$-semigroups [PDF]

ریاضی و جامعه
In this paper, quasi-rigid $C_{0}$-semigroups are introduced and their properties are investigated. Also, some sufficient conditions for quasi-rigidity are stated. It is proved that quasi-rigid $C_{0}$-semigroups are recurrent. It is stated that if a $C_{
Mansooreh Moosapoor
doaj   +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