Results 81 to 90 of about 453,986 (139)
The algebraic size of the family of injective operators
Open Mathematics, 2017 In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every separable infinite dimensional Banach
Bernal-González Luis
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Advanced Engineering Research, 2009 We give representation of linea continuous operator, commutating with Dankle differentiation. These operators turn out to be chaotic and hypercyclic.
A.V. BRATISHCHEV
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A hypercyclic finite rank perturbation of a unitary operator
, 2010 A unitary operator V and a rank 2 operator R acting on a Hilbert space H are constructed such that V + R is hypercyclic. This answers affirmatively a question of Salas whether a finite rank perturbation of a hyponormal operator can be ...
Shkarin, Stanislav
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On the spectrum of frequently hypercyclic operators [PDF]
, 2009 A bounded linear operator T on a Banach space X is called frequently hypercyclic if there exists x ∈ X such that the lower density of the set { n ∈ N : Tnx ∈ U } is positive for any non-empty open subset U of X.
Shkarin, Stanislav
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Difference sets and frequently hypercyclic weighted shifts [PDF]
, 2013 We solve several problems on frequently hypercyclic operators. Firstly, we characterize frequently hypercyclic weighted shifts on $\ell^p(\mathbb Z)$, $p\geq 1$.
Bayart, Frédéric, Ruzsa, Imre
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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
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Rate of growth of hypercyclic entire functions [PDF]
, 2000 Let be a weighted shift operator on the space of entire functions. Suppose that |aa| → ∞ monotonically, a particular such operator being the differentiation operator Df = f′.l It is known that T possesses hypercyclic functions, that is, functions f for ...
Karl-Goswin,, Grosse-Erdmann,
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Dual Hypercyclic Extension for an Operator on a Hilbert Subspace
, 2015 Let M be a closed nontrivial subspace of a separable, infinite dimensional Hilbert space H with dim(H/M) = ∞. We show that a bounded linear operator A : M → M has a dual hypercyclic extension T : H → H if and only if its adjoint A∗ : M → M is ...
Kadel, Gokul R., Chan, Kit C.
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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
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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
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