Journal of Function Spaces

Geometry of Banach Spaces, Operator Theory, and Their Applications


Publishing date
06 Sep 2013
Status
Published
Submission deadline
19 Apr 2013

Lead Editor

1Department of Mathematics, Tianjin University, Tianjin, China

2Department of Mathematics, Community College of Philadelphia, Philadelphia, PA, USA

3College of Mathematics and Statistics, Wuhan University, Wuhan, China

4Department of Mathematics, Khon Kaen University, Khon Kaen, Thailand


Geometry of Banach Spaces, Operator Theory, and Their Applications

Description

The development of functional analysis is based on the powerful influences of theoretical physics and other sciences. There were many pioneering mathematicians who established the fundamental framework in this research direction. In recent years, a large number of research articles have been published in this area, and many major discoveries have been obtained. At the present time, the ideas, terminology, and methods of functional analysis have penetrated deeply not only into natural sciences, but also into applied disciplines as economics, finance, risk management, and life science. Many real world problems were analyzed and solved by using the ideas and results of function analysis.

This special issue will focus on important developments in the geometric theories, linear and nonlinear operators, and their applications. Potential topics include, but are not limited to:

  • Geometric parameters and constants in Banach spaces
  • Normal structure, nonexpansive operators, and iterative methods
  • Isometric mappings
  • Fixed point theory in metric spaces, set value mappings, and common fixed points
  • Equalities, inequalities, and the geometry of Banach spaces
  • Convexity, smoothness, and differentiability of norms
  • Modulus of convexity and modulus of smoothness
  • “Ultra”-techniques
  • Radon-Nikodym properties and vector measures
  • Bases of Banach spaces
  • Properties of Orlicz spaces, Minkowski geometry, and others
  • The spectrum and resolvent of a linear operator
  • Spectral theory of nonselfadjoint operators, spectral operators, spectral subspaces, and eigenvectors of operators
  • Applications to economics, finance and risk management, dynamic systems, physics, and other real world problems

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/jfsa/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/jfs/gbs/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 635649
  • - Editorial

Geometry of Banach Spaces, Operator Theory, and Their Applications

Genqi Xu | Ji Gao | ... | Satit Saejung
  • Special Issue
  • - Volume 2014
  • - Article ID 501057
  • - Research Article

Composition Operators on Cesàro Function Spaces

Kuldip Raj | Suruchi Pandoh | Seema Jamwal
  • Special Issue
  • - Volume 2013
  • - Article ID 856084
  • - Research Article

Approximation Strategy by Positive Linear Operators

Wei Xiao
  • Special Issue
  • - Volume 2013
  • - Article ID 674191
  • - Research Article

Stability Analysis of a Repairable System with Warning Device and Repairman Vacation

Yangli Ren | Lina Guo | Lingling Zhang
  • Special Issue
  • - Volume 2013
  • - Article ID 194631
  • - Research Article

On the Distance between Three Arbitrary Points

Parin Chaipunya | Poom Kumam
  • Special Issue
  • - Volume 2013
  • - Article ID 989102
  • - Research Article

On Some Basic Theorems of Continuous Module Homomorphisms between Random Normed Modules

Guo Tiexin
  • Special Issue
  • - Volume 2013
  • - Article ID 284389
  • - Research Article

The Composition Operator and the Space of the Functions of Bounded Variation in Schramm-Korenblum's Sense

Z. Jesús | O. Mejía | ... | S. Rivas
  • Special Issue
  • - Volume 2013
  • - Article ID 473876
  • - Research Article

Abstract Semilinear Evolution Equations with Convex-Power Condensing Operators

Lanping Zhu | Qianglian Huang | Gang Li
  • Special Issue
  • - Volume 2013
  • - Article ID 902563
  • - Research Article

On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator

Dinu Teodorescu | N. Hussain
  • Special Issue
  • - Volume 2013
  • - Article ID 704251
  • - Research Article

A Minimax Theorem for -Valued Functions on Random Normed Modules

Shien Zhao | Yuan Zhao
Journal of Function Spaces
 Journal metrics
Acceptance rate23%
Submission to final decision54 days
Acceptance to publication85 days
CiteScore0.750
Impact Factor1.005
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