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Matrix Transformations, Measures of Noncompactness, and Applications

Call for Papers

The significance of the theory of matrix transformations has been strikingly demonstrated in various contexts, for example, in Fourier analysis, analytic continuation, quantum mechanics, probability theory, and approximation theory. Also the theory of matrix transformations on one hand and measures of noncompactness on the other hand are successfully linked to obtain necessary and sufficient conditions for matrix maps between certain sequence spaces of a general class to be compact operators. Recently, these results on compact matrix operators have become a useful tool in the study of infinite system of differential and integrodifferential equations in sequence spaces.

We invite authors to submit original research and review articles that will stimulate the continuing efforts to understand the theory of matrix transformations, measures of noncompactness, and their applications. We are particularly interested in articles describing the new methods and insights on the topics which are directly or indirectly related to matrix methods, measures of noncompactness, fixed point theory, and their various applications. Potential topics include, but are not limited to:

  • Matrix methods and their applications in Fourier and Walsh-Fourier series, analytic continuation, quantum mechanics, probability theory, and approximation theory
  • Measures of noncompactness for function spaces and sequence spaces
  • Characterizations of compact operators for matrix transformations
  • Fixed point theorems via measures of noncompactness
  • Study of differential, integral, and integrodifferential equations via measures of noncompactness
  • Composition operators between function spaces
  • Statistical and almost convergence methods and their applications in approximation theory, special functions, and differential equations
  • Fractionaldifferentialandintegral equations

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/mmmn/ according to the following timetable:

Manuscript DueFriday, 25 October 2013
First Round of ReviewsFriday, 17 January 2014
Publication DateFriday, 14 March 2014

Lead Guest Editor

  • S. A. Mohiuddine, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Guest Editors

  • Józef Banaś, Department of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 8, 35-959 Rzeszów, Poland
  • Mohammad Mursaleen, Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
  • Richard F. Patterson, Department of Mathematics and Statistics, University of North Florida, Building 14, Jacksonville, FL 32224, USA
  • Abdullah Alotaibi, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • Asadollah Aghajani, School of mathematics, Iran university of science and technology, Tehran, P.O. Box 16846-13114, Iran