Abstract and Applied Analysis

Topological Methods in Analysis


Publishing date
20 Dec 2013
Status
Published
Submission deadline
02 Aug 2013

1Jaume I University, Department of Mathematics, 12071 Castellon de la Plana, Spain

2St. John’s University, Department of Mathematics, Queens, NY 11439, USA

3California State University, Bakersfield, CA 93311, USA


Topological Methods in Analysis

Description

Topological methods have played a seminal role in functional analysis since its birth in the early twentieth century. The Baire category theorem, for example, is the bedrock on which rest such basic principles of functional analysis as the open mapping theorem and the principle of uniform boundedness. Initial (weak) topologies, compactness, and the Tikhonov theorem drive such classical results of duality theory as the Banach-Alaoglu and Krein-Milman theorems. Topological methods also play a crucial role in Banach algebra theory (Gelfand topology), harmonic analysis (locally compact groups and function spaces), differential equations (fixed point theorems and Ascoli-Arzela theorem), and nonlinear analysis (fixed point existence theorems and topological degree theory) to mention just a few. In this special volume, we invite articles dealing with any aspect of topology in analysis. Potential topics include, but are not limited to:

  • Topology in functional analysis
  • Topology in nonlinear analysis
  • Topology in harmonic analysis
  • Function spaces
  • Banach spaces
  • Topological vector spaces
  • Topological groups
  • Banach algebras
  • Dynamical systems

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/toma/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2013
  • - Article ID 237968
  • - Editorial

Topological Methods in Analysis

Salvador Hernández | Lawrence Narici | Javier Trigos-Arrieta
  • Special Issue
  • - Volume 2013
  • - Article ID 268650
  • - Research Article

Coercivity Properties for Sequences of Lower Semicontinuous Functions on Metric Spaces

D. Motreanu | V. V. Motreanu
  • Special Issue
  • - Volume 2013
  • - Article ID 590159
  • - Research Article

Extending Topological Abelian Groups by the Unit Circle

Hugo J. Bello | María Jesús Chasco | Xabier Domínguez
  • Special Issue
  • - Volume 2013
  • - Article ID 690341
  • - Research Article

The Viro Method for Construction of Piecewise Algebraic Hypersurfaces

Yisheng Lai | Weiping Du | Renhong Wang
  • Special Issue
  • - Volume 2013
  • - Article ID 329451
  • - Research Article

A Best Proximity Point Result in Modular Spaces with the Fatou Property

Mohamed Jleli | Erdal Karapınar | Bessem Samet
  • Special Issue
  • - Volume 2013
  • - Article ID 539573
  • - Research Article

Endpoints in -Quasimetric Spaces: Part II

Collins Amburo Agyingi | Paulus Haihambo | Hans-Peter A. Künzi
  • Special Issue
  • - Volume 2013
  • - Article ID 579042
  • - Research Article

-Algebras from Groupoids on Self-Similar Groups

Inhyeop Yi
  • Special Issue
  • - Volume 2013
  • - Article ID 206515
  • - Research Article

Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction

Poom Kumam | Fayyaz Rouzkard | ... | Dhananjay Gopal
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
Impact Factor-
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