Results 11 to 20 of about 39 (39)
Generalized bilateral shifts of higher multiplicity [PDF]
PurposeSince weighted shifts play a vital role in linear dynamics so in 2021 Chan & Sanders considered weighted shift operators on ℓp(Z) that are not hypercyclic and proved that under certain conditions they can be factorized as products of hypercyclic ...
Munmun Hazarika, Silpi Sikha Das
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The algebraic size of the family of injective operators
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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Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators
We characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators ...
Ma Yingbin, Wang Cui
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δ-Almost Periodic Vectors for Bounded Linear Operators: Geometric and Dynamical Structure
MSC2020 Classification: Primary 47A16; Secondary 47A35, 37B20 ...
Hadi Obaid Alshammari, Otmane Benchiheb
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On Some Subspace Codiskcyclic Operators in Banach Spaces
This paper introduces the concepts of subspace codiskcyclicity and subspace codisk transitivity, providing criteria and examples that highlight their distinct properties compared to traditional codiskcyclic operators and hypercyclic operators. The paper also demonstrates the existence of subspace codiskcyclic operators in finite‐dimensional Banach ...
Peter Masong Slaa +3 more
wiley +1 more source
The purpose of this paper is to study the fixed point problem of cyclic mapping in the generalized metric spaces. In an extended b‐metric space, we introduce a new cyclic mapping, which is called LB3S2‐type cyclic mapping into this space, a specific example of LB3S2‐type cyclic mapping is shown, and the fixed point theorem for it is established.
Shengquan Weng +2 more
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Weighted Sequence Spaces and Cyclicity
In this paper we investigate the cyclicity of the multiplication operator Mz acting on the weighted Hardy spaces of formal Laurent series. AMS Subject Classification: Primary 47B37; Secondary 47A16.
J. Doroodgar, B. Yousefi
doaj
Introduction to the dynamical properties of Toeplitz operators on the Hardy space of the unit disc
These notes are based on a mini-course given at the ACOTCA conference 2025. The goal is to present full proofs of the first two key results regarding hypercyclic Toeplitz operators, in a way that is accessible to beginners.
Fricain Emmanuel, Ostermann Maëva
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Self-adjoint differential vector-operators and matrix Hilbert spaces I
Sokolov Maksim
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Distributionally chaotic translation semigroups
Journal of Difference Equations and Applications, 2012Alfred Peris
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