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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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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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Weakly Sequentially Recurrent Shifts Operators
Mathematical Notes, 2023The paper under review delves into the study of the weakly sequential recurrence of shift operators on \(\ell^p\)-type spaces. This notion was recently introduced by the same authors (see [Mediterr. J. Math. 20, No. 3, Paper No. 169, 16 p. (2023; Zbl 1525.47017)]).
Amouch, M. +3 more
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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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Shift invariant binary aggregation operators
Fuzzy Sets and Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lázaro, J. +2 more
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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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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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CHAOS FOR BACKWARD SHIFT OPERATORS
International Journal of Bifurcation and Chaos, 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 ...
Martínez-Giménez, F., Peris, A.
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