Results 101 to 110 of about 491,446 (159)

Weyl type theorem and hypercyclic operators [PDF]

, 2005
Using a variant of the essential approximate point spectrum, we give the necessary and sufficient conditions for T for which the a-Browder's theorem or the a-Weyl's theorem holds. Also, the relation between hypercyclic operators (or supercyclic operators)
Xiaohong Cao, Cao, Xiaohong
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GELFOND-LEONTYEV GENERAL DIFFERETIATION OPERATORS AND BRENKE POLYNOMIALS

Вестник Донского государственного технического университета, 2018
Natural connection between Gelfond-Leontyev generalized derivation operators (GDO) and  Brenke polynomials is established. Operator extension criterion commuting with GDO up to continuous H(G) space is derived.
Alexander V. BRATISHCHEV
doaj  

GELFOND-LEONTYEV GENERAL DIFFERETIATION OPERATORS AND BRENKE POLYNOMIALS

Advanced Engineering Research, 2010
Natural connection between Gelfond-Leontyev generalized derivation operators (GDO) and  Brenke polynomials is established. Operator extension criterion commuting with GDO up to continuous H(G) space is derived.
Alexander V. BRATISHCHEV
doaj  

Subspace-diskcyclic sequences of linear operators [PDF]

Sahand Communications in Mathematical Analysis, 2017
A sequence ${T_n}_{n=1}^{infty}$ of bounded linear  operators on a separable infinite dimensional Hilbert space $mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $Msubseteq mathcal{H},$ if there exists a vector $xin mathcal{H}
Mohammad Reza Azimi
doaj  

On numerically hypercyclic operators

, 2013
According to Kim, Peris and Song, a continuous linear operator $T$ on a complex Banach space $X$ is called {\it numerically hypercyclic} if the numerical orbit $\{f(T^nx):n\in\N\}$ is dense in $\C$ for some $x\in X$ and $f\in X^*$ satisfying $\|x\|=\|f\|=f(x)=1$. They have characterized numerically hypercyclic weighted shifts and provided an example of
openaire   +2 more sources

Note on epsilon-cyclic operator

Ibn Al-Haitham Journal for Pure and Applied Sciences
In this paper, we investigated the concept of ε-diskcyclic operators on a separable infinite-dimensional Hilbert space . A bounded linear operator  is called -diskcyclic if there exists a vector in  such that its disk orbit  visits every cone of ...
Muammer Badree Abed, Zeana Zaki Jamil
doaj   +1 more source

Extensions and derivatives of subsymmetric functions

Frontiers in Applied Mathematics and Statistics
In the paper, subsymmetric functions on a real or complex Banach space X with a subsymmetric basis are investigated. It is known that subsymmetric polynomials on the Banach space ℓp, 1 ≤ p < ∞ can be simultaneously extended to polynomials on ℓp(𝔄) for
Daryna Dolishniak, Viktoriia Kravtsiv, Andriy Zagorodnyuk   +2 more
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Invariant measures for frequently hypercyclic operators

, 2014
International audienceWe investigate frequently hypercyclic and chaotic linear operators from a measure-theoretic point of view. Among other things, we show that any frequently hypercyclic operator T acting on a reflexive Banach space admits an invariant
Grivaux, Sophie, Matheron, Etienne
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Limits of Weakly Hypercyclic and Supercyclic Operators [PDF]

, 2005
We give a spectral characterization of the norm closure of the class of all weakly hypercyclic operators on a Hilbert space.
Prajitura, Gabriel
core  

Some characterizations of disjoint topological transitivity on Orlicz spaces. [PDF]

J Inequal Appl, 2018
Chen CC, Du WS.
europepmc   +1 more source