Special Issue "Dynamics of Operators and C0-Semigroups"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".

Deadline for manuscript submissions: closed (30 June 2021).

Special Issue Editors

Prof. Dr. Alfredo Peris
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Guest Editor
Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Edifici 8E, 4a planta, 46022 València, Spain
Interests: linear dynamics; topological dynamics; ergodic theory; chaos
Prof. Dr. Juan Bès
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Guest Editor
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA
Interests: linear dynamics; operator theory; topological dynamics; function theory

Special Issue Information

Dear Colleagues,

The activity on linear dynamics in the last 25 years has experimented a great development. The dynamics of operators and C0-semigroups is at the crossroads of several areas of mathematics. Some of the topics with which linear dynamics has close connections are: Operators on spaces of analytic functions, semigroups and applications to partial differential equations and infinite systems of ordinary differential equations, complex dynamics, ergodic theory, topological dynamics, etc.

With the present high activity in these fields, with the appearance of many young researchers, after the solution of several open problems, and in view of some major remaining challenges, we believe that it is the ideal time for bringing together some of the main advances in a Special Issue. Potential topics include but are not limited to:

* Linear dynamics of operators, ergodic theory, interplay between topological dynamics and linear dynamics, and asymptotic behavior of semigroups of operators associated to linear PDEs and infinite systems of linear ODEs.

Prof. Dr. Alfredo Peris
Prof. Dr. Juan Bès
Guest Editors

Manuscript Submission Information

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Keywords

  • Linear dynamics
  • Hypercyclic operators
  • Ergodic measures on Banach and Fréchet spaces
  • Mixing properties
  • Chaos
  • Dynamics of C0-semigroups

Published Papers (1 paper)

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Research

Article
The Ideal of σ-Nuclear Operators and Its Associated Tensor Norm
Mathematics 2020, 8(7), 1192; https://doi.org/10.3390/math8071192 - 20 Jul 2020
Viewed by 593
Abstract
We introduce a new tensor norm ( σ -tensor norm) and show that it is associated with the ideal of σ -nuclear operators. In this paper, we investigate the ideal of σ -nuclear operators and the σ -tensor norm. [...] Read more.
We introduce a new tensor norm ( σ -tensor norm) and show that it is associated with the ideal of σ -nuclear operators. In this paper, we investigate the ideal of σ -nuclear operators and the σ -tensor norm. Full article
(This article belongs to the Special Issue Dynamics of Operators and C0-Semigroups)
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