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) | Viewed by 1963

Special Issue Editors


E-Mail Website
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

E-Mail
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

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

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

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

15 pages, 785 KiB  
Article
The Ideal of σ-Nuclear Operators and Its Associated Tensor Norm
by Ju Myung Kim and Keun Young Lee
Mathematics 2020, 8(7), 1192; https://doi.org/10.3390/math8071192 - 20 Jul 2020
Cited by 1 | Viewed by 1541
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)
Back to TopTop