Results 221 to 230 of about 44,629 (263)
Hypercyclic Generalized Shift Operators
Complex Analysis and Operator Theory, 2023 In this paper, we study the linear dynamical properties of shift operators on some classes of Segal algebras. Moreover, we characterize hypercyclic generalized bilateral shift operators on the standard Hilbert module.
Seyyed Mohammad Tabatabaie +1 more
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Cowen–Douglas Operators and Shift Operators
Mediterranean Journal of Mathematics, 2022Let \(\mathcal{H}\) be a separable infinite-dimensional complex Hilbert space. For a connected open subset \(\Omega\) of the complex plane and a positive integer \(n\), the set \(\mathcal{B}_n(\Omega)\) consists of all bounded operators \(T\) on \(\mathcal{H}\) that satisfy the following conditions: \begin{itemize} \item[(a)] \(\Omega\subset \sigma(T)\)
Jiawei Luo +3 more
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Chaos for Backward Shift Operators
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2002Backward shift operators provide a general class of linear dynamical systems on infinite dimensional spaces. Despite linearity, chaos is a phenomenon that occurs within this context. In this paper we give characterizations for chaos in the sense of Auslander and Yorke [1980] and in the sense of Devaney [1989] of weighted backward shift operators and ...
Félix Martínez Giménez, Alfred Peris
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Dynamics of Operator-Weighted Shifts
International Journal of Bifurcation and Chaos, 2019This paper investigates the dynamics of bilateral operator-weighted shifts on [Formula: see text] with a weight sequence of positive diagonal operators on a Hilbert space [Formula: see text]. Necessary and sufficient conditions for the bilateral weighted shifts to be hypercyclic (subspace-hypercyclic, frequently hypercyclic, Devaney chaotic ...
Zongbin Yin, Yuming Chen, Qiaomin Xiang
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Canadian Mathematical Bulletin, 1988
AbstractA definition of an isometric shift operator on a Banach space is given which extends the usual definition of a shift operator on a separable Hilbert space. It is shown that there is no such shift on many of the common Banach spaces of continuous functions. The associated ideas of a semi-shift and a backward shift are also introduced and studied
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AbstractA definition of an isometric shift operator on a Banach space is given which extends the usual definition of a shift operator on a separable Hilbert space. It is shown that there is no such shift on many of the common Banach spaces of continuous functions. The associated ideas of a semi-shift and a backward shift are also introduced and studied
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The Commutant of Some Shift Operators
Complex Analysis and Operator Theory, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Abkar, Guangfu Cao, Kehe Zhu
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A GENERALIZATION OF THE SHIFT OPERATOR
UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, 2021Several approaches are known to generalize the shift operator in the complex domain. Specific generalization procedures lead to significantly different operators of the shift type even in one specific area of complex analysis. In this paper, a certain general operator of the shift type is defined.
Yurii S. Saranchuk +1 more
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On Some Bergman Shift Operators
Complex Analysis and Operator Theory, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giselsson, Olof, Olofsson, Anders
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Acta Mathematica Sinica, English Series, 2007
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Jiang, Chun Lan +2 more
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Jiang, Chun Lan +2 more
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ON SPECTRAL PROPERTIES OF OPERATORS WITH A SHIFT
Mathematics of the USSR-Izvestiya, 1984The article deals with the so-called operators of weighted shift (translation) type, having the form aT, \(a\in A\), where A is a subalgebra (commutative in the article) of the algebra of the linear bounded operators in a Banach space; T is an invertible isometry and \(TAT^{- 1}=A.\) The main example of such an operator is an operator acting in some ...
Antonevich, A. B., Lebedev, A. V.
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