Abstract and Applied Analysis

Dynamics, Operator Theory, and Infinite Holomorphy


Publishing date
13 Jun 2014
Status
Published
Submission deadline
24 Jan 2014

Lead Editor

1Universitat Politecnica de Valencia, Valencia, Spain

2Universitat de Valencia, Valencia, Spain

3Universidad de Granada, Granada, Spain

4Pohang University of Science and Technology, Pohang, Republic of Korea


Dynamics, Operator Theory, and Infinite Holomorphy

Description

The works on linear dynamics in the last two decades show that many, even quite natural, linear dynamical systems exhibit wild behavior. Linear chaos and hypercyclicity have been at the crossroads of several areas of mathematics. More recently, fascinating new connections have started to be explored: operators on spaces of analytic functions, semigroups and applications to partial differential equations, complex dynamics, and Ergodic theory.

Related aspects of functional analysis are the study of linear operators on Banach spaces by using geometric, topological, and algebraic techniques, the works on the geometry of Banach spaces and Banach algebras, and the study of the geometry of a Banach space via the behavior of some of its operators.

In recent years, some aspects of the theory of infinite dimensional complex analysis have attracted the attention of several researchers: one in the general field of Banach and Frechet algebras and Banach spaces of polynomial and holomorphic functions, and another in a deep connection with the theory of one and several complex variables as Dirichlet series in one variable, Bohr radii in several variables, Bohnenblust-Hille constants, Sidon constants, domains of convergence, and so forth.

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, and asymptotic behavior of semigroups of operators associated with linear PDEs
  • Dynamics of polynomials on Banach and Frechet spaces
  • Norm-attaining operators, numerical range of operators, and Daugavet and related properties
  • Isometries on Banach spaces
  • Nonlinear analysis in infinite dimensions: Dirichlet series and power series in infinite dimensional spaces

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/holo/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 690542
  • - Editorial

Dynamics, Operator Theory, and Infinite Holomorphy

Alfred Peris | Manuel Maestre | ... | Yun Sung Choi
  • Special Issue
  • - Volume 2014
  • - Article ID 754960
  • - Research Article

Invariant Distributionally Scrambled Manifolds for an Annihilation Operator

Xinxing Wu
  • Special Issue
  • - Volume 2014
  • - Article ID 609873
  • - Research Article

An Extension of Hypercyclicity for -Linear Operators

Juan Bès | J. Alberto Conejero
  • Special Issue
  • - Volume 2014
  • - Article ID 612304
  • - Research Article

Homomorphisms between Algebras of Holomorphic Functions

Verónica Dimant | Domingo García | ... | Pablo Sevilla-Peris
  • Special Issue
  • - Volume 2014
  • - Article ID 631894
  • - Research Article

Powers of Convex-Cyclic Operators

Fernando León-Saavedra | María del Pilar Romero-de la Rosa
  • Special Issue
  • - Volume 2014
  • - Article ID 315641
  • - Research Article

Norm Attaining Arens Extensions on

Javier Falcó | Domingo García | ... | Pilar Rueda
  • Special Issue
  • - Volume 2014
  • - Article ID 479208
  • - Research Article

On the Bishop-Phelps-Bollobás Property for Numerical Radius

Sun Kwang Kim | Han Ju Lee | Miguel Martín
  • Special Issue
  • - Volume 2014
  • - Article ID 170397
  • - Research Article

Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical Potential

Xiaoyao Jia | Yan Zhao | Haoyu Zhai
  • Special Issue
  • - Volume 2014
  • - Article ID 131459
  • - Research Article

Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform

Carmen Fernández | Antonio Galbis | Josep Martínez
  • Special Issue
  • - Volume 2014
  • - Article ID 179027
  • - Research Article

Uniform Convergence and Spectra of Operators in a Class of Fréchet Spaces

Angela A. Albanese | José Bonet | Werner J. Ricker
Abstract and Applied Analysis
 Journal metrics
Acceptance rate13%
Submission to final decision52 days
Acceptance to publication75 days
CiteScore0.580
Impact Factor-
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