Results 21 to 30 of about 559 (116)

Bishop's property (β), hypercyclicity and hyperinvariant subspaces [PDF]

Operators and Matrices, 2014
Salah Mecheri
openalex   +2 more sources

SUFFICIENT CONDITIONS FOR SUBSPACE-HYPERCYCLICITY [PDF]

International Journal of Pure and Apllied Mathematics, 2015
Mansooreh Moosapoor
openalex   +2 more sources

Explicit Constructions of Dense Common Hypercyclic Subspaces

Publications of the Research Institute for Mathematical Sciences, 2007
We give an explicit construction of a dense infinite dimensional vector space of hypercyclic vectors for the weighted backward shift _T_λ (|λ| > 1). We also develop a technique to construct common hypercyclic vectors for countable families of these operators.
Juan B. Seoane‐Sepúlveda
openalex   +4 more sources

SUBSPACE-HYPERCYCLIC TUPLES OF OPERATORS [PDF]

International Journal of Pure and Apllied Mathematics, 2016
In this paper we introduce subspace-hypercyclic tuples of operators and construct interesting examples of such operators. We state some sufficient conditions for n-tuples of operators to be subspace-hypercyclic. Surprisingly, we prove that subspace-hypercyclic tuples exist on finite-dimensional spaces.
Mansooreh Moosapoor
openalex   +2 more sources

IRREGULAR VECTORS AND SUBSPACE-HYPERCYCLIC OPERATORS [PDF]

International Journal of Pure and Apllied Mathematics, 2013
Mansooreh Moosapoor
openalex   +2 more sources

Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts. In particular, we show that abstract differential operators and dual operators to operators of multiplication in graded Hilbert spaces are similar to backward weighted shift operators.
Andriy Zagorodnyuk, Zoriana Novosad, Ismat Beg   +2 more
wiley   +1 more source

Frequently hypercyclic bilateral shifts [PDF]

, 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

Hypercyclic subspaces for sequences of finite order differential operators [PDF]

Journal of Mathematical Analysis and Applications
It is proved that, if $(P_n)$ is a sequence of polynomials with complex coefficients having unbounded valences and tending to infinity at sufficiently many points, then there is an infinite dimensional closed subspace of entire functions, as well a dense $\mathfrak{c}$-dimensional subspace of entire functions, all of whose nonzero members are ...
L. Bernal-González, M. C. Calderón-Moreno, López-Salazar, J., J. A. Prado-Bassas   +3 more
  +7 more sources

Simultaneous universality [PDF]

, 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]

, 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