Results 31 to 40 of about 1,090 (133)

Countably Generated Algebras of Analytic Functions on Banach Spaces

open access: yesAxioms, 2023
In the paper, we study various countably generated algebras of entire analytic functions on complex Banach spaces and their homomorphisms. Countably generated algebras often appear as algebras of symmetric analytic functions on Banach spaces with respect
Zoriana Novosad   +2 more
doaj   +1 more source

Monsters in Hardy and Bergman spaces [PDF]

open access: yes, 2002
A monster in the sense of Luh is a holomorphic function on a simply connected domain in the complex plane such that it and all its derivatives and antiderivatives exhibit an extremely wild behaviour near the boundary.
Bernal González, Luis   +1 more
core   +1 more source

HYPERCYCLIC OPERATOR WEIGHTED SHIFTS

open access: yesBulletin of the Korean Mathematical Society, 2004
A bounded linear operator \(T\) on a Hilbert space \(H\) is said to be hypercyclic if, for some \(x \in H\), the orbit \(\{T^{n}x : n=0,1,2,\dots \}\) is dense in \(H\). In the paper under review, the authors give a characterization for hypercyclicity of a bilateral operator weighted shift \(T\) on the Hilbert space \(L^{2}(K)\).
Hazarika, Munmun, Arora, S. C.
openaire   +3 more sources

Hypercyclic algebras for D-multiples of convolution operators [PDF]

open access: yes, 2018
It is shown in this short note the existence, for each nonzero member of the ideal of D-multiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.Plan Andaluz de Investigación (
Bernal González, Luis   +1 more
core   +1 more source

A Hypercyclic Operator whose Adjoint is Also Hypercyclic [PDF]

open access: yesProceedings of the American Mathematical Society, 1991
An operator T T acting on a Hilbert space H H is hypercyclic if, for some vector x x in H H , the orbit { T n x : n ≥ 0 } \{ {T^n}x:n \geq 0\} is dense in H
openaire   +1 more source

New classes of hypercyclic Toeplitz operators [PDF]

open access: yesBulletin des Sciences Mathématiques, 2021
12 pages, 2 ...
Abakumov, Evgeny   +3 more
openaire   +3 more sources

Information Characteristics, Processes, and Mechanisms of Self‐Organization Evolution

open access: yesComplexity, Volume 2019, Issue 1, 2019., 2019
Self‐organization is a general mechanism for the creation of new structural pattern of systems. A pattern, in essence, is a relationship, an architecture, a way of organizing, and a structure of order, which can only be explained by information activities.
Kun Wu, Qiong Nan, Quanmin Zhu
wiley   +1 more source

Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions

open access: yesAbstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018
The main aim of this paper is to investigate generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions to a class of abstract (semilinear) multiterm fractional differential inclusions with Caputo derivatives. We illustrate our abstract results with several examples and possible applications.
G. M. N’Guérékata   +2 more
wiley   +1 more source

Hypercyclic operators on spaces of block-symmetric analytic functions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
The paper contains proof of the hypercyclicity of “symmetric translation” on the algebras of block-symmetric analytic functions of bounded type on an isomorphic copy of $l_1$.
V.V. Kravtsiv   +2 more
doaj   +3 more sources

Fast orbital convergence reveals more hypercyclic vectors

open access: yesApplied General Topology
Let X be an infinite dimensional separable Banach space, T : X → X be a hypercyclic operator, and x ∈ X be a (frequently) hypercyclic vector of T. We show that if the terms from the T-orbit of x converge to a vector y sufficiently fast, then y is also a ...
T. K. Subrahmonian Moothathu
doaj   +1 more source

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