Results 71 to 80 of about 1,090 (133)
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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Existence and nonexistence of hypercyclic semigroups [PDF]
, 2007 In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any separable infinitedimensional Banach space that is very different from –and considerably shorter than– the one recently given by ...
Bernal González, Luis +1 more
core
Porosity and hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 2005 We study if the set of hypercyclic vectors of a hypercyclic operator is the complement of a σ \sigma -porous set. This leads to interesting results for both points of view: a limitation of the size of hypercyclic vectors, and new examples of first category sets which are not σ \sigma -porous.
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Hypercyclic sequences of operators [PDF]
Studia Mathematica, 2006 A sequence (Tn) of bounded linear operators between Banach spaces X,Y is said to be hypercyclic if there exists a vector x ∈ X such that the orbit {Tnx} is dense in Y . The paper gives a survey of various conditions that imply the hypercyclicity of (Tn) and studies relations among them.
León-Saavedra, F. +1 more
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Вестник Донского государственного технического университета, 2018 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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On subspace-hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 2011 In this paper we study an operator T T on a Banach space E E which is M M -hypercyclic for some subspace M M of E E . We give a sufficient condition for such an operator to be M M -hypercyclic and use it to answer negatively two questions asked by ...
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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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Notes on the Hypercyclic Operator
Journal of Mathematical Extension, 2008 In this paper by using a nice criterion, we show that the perturbation of identity operators by some multiples of the standard backward shift is hypercyclic. This gives a new proof for Salas Theorem in ( [10 ], Theorem 3.3).
H. Rezaei
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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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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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