Abstract and Applied Analysis

Preserver Problems on Function Spaces, Operator Algebras, and Related Topics


Publishing date
07 Mar 2014
Status
Published
Submission deadline
18 Oct 2013

1Universidad de Granada, Granada, Spain

2Chern Institute of Mathematics, Nankai University, Tianjin 300071, China

3Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan

4Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, Taiwan


Preserver Problems on Function Spaces, Operator Algebras, and Related Topics

Description

In matrix theory, functional analysis, and operator theory, the study of those (linear) mappings preserving ranks, spectra, spectral radii, numerical ranges, numerical radii, orthogonality or disjointness, respectively, has a long and distinguished history. There has been a great deal of active research conducted by different research groups around the world. A subject search on “numerical range,” “numerical radius,” or “field of values” on the MathSciNet will return over 1000 items. There are monographs, special issues of research journals, and chapters of textbooks devoted to the subject. Research papers on the subject appear regularly in reputed mathematical journals. Talks on the subject are frequently presented in mathematical conferences. Recently, researchers are also interested in similar problems in operator algebras, C*- and von Neumann algebras, and Jordan structures.

In view of the recent rapid development of the interrelationship among preserver problems of operator algebras, operator theory, and quantum information sciences, it was felt that a special issue on preserver problems should be published. Similar issues have been published before by other respectable mathematics journals, but the themes are sometimes in favor of matrix theory or operator algebras. We think that a new one with more emphasis on the function space aspects will be welcomed. In fact, many preserver problems in matrix theory, operator algebras, and functional analysis are related to those in function spaces, though, for example, functional calculus. It is the time to call for a more systematic approach based on function space techniques.

We invite original research articles as well as review articles describing the recent advances in preserver problems of function spaces and operator algebras. Papers of related topics are also welcomed. Potential topics include, but are not limited to:

  • Linear and nonlinear maps between function spaces and operator algebras which preserve norms, positivity, orthogonality, disjointness, ranks, spectra, spectral radii, numerical ranges/radii, zero of polynomials, or some other special relations
  • Algebraic and/or geometric structures of Banach spaces, function spaces, and operator algebras characterizing the structure of the original spaces or algebras
  • Preserver problems in mathematical physics and quantum information theory
  • General theory of Banach and function spaces and operator algebras, and the transformations between them, for example, fixed point theorems
  • Other related problems of general interests

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/ppfs/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 723685
  • - Editorial

Preserver Problems on Function Spaces, Operator Algebras, and Related Topics

Antonio M. Peralta | Chi-Keung Ng | ... | Jen-Chih Yao
  • Special Issue
  • - Volume 2014
  • - Article ID 596756
  • - Research Article

Induced Maps on Matrices over Fields

Li Yang | Xuezhi Ben | ... | Chongguang Cao
  • Special Issue
  • - Volume 2014
  • - Article ID 148321
  • - Research Article

Linear Maps on Upper Triangular Matrices Spaces Preserving Idempotent Tensor Products

Li Yang | Wei Zhang | Jinli Xu
  • Special Issue
  • - Volume 2014
  • - Article ID 104272
  • - Research Article

Characterizing -Lie Multiplicative Isomorphisms on Von Neumann Algebras

Yamin Song | Jinchuan Hou | Xiaofei Qi
  • Special Issue
  • - Volume 2014
  • - Article ID 969265
  • - Research Article

Lie Triple Derivations on -Subspace Lattice Algebras

Ting Wang | Fangyan Lu
  • Special Issue
  • - Volume 2014
  • - Article ID 520795
  • - Research Article

Maps Preserving Schatten -Norms of Convex Combinations

David Li-Wei Kuo | Ming-Cheng Tsai | ... | Jun Zhang
  • Special Issue
  • - Volume 2013
  • - Article ID 250943
  • - Research Article

Properties and Iterative Methods for the -Lasso

Maryam A. Alghamdi | Mohammad Ali Alghamdi | ... | Hong-Kun Xu
  • Special Issue
  • - Volume 2013
  • - Article ID 415354
  • - Research Article

Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C*-Algebras

Jorge J. Garcés | Antonio M. Peralta | ... | María Isabel Ramírez
  • Special Issue
  • - Volume 2013
  • - Article ID 757646
  • - Research Article

Approximate Preservers on Banach Algebras and C*-Algebras

M. Burgos | A. C. Márquez-García | A. Morales-Campoy
  • Special Issue
  • - Volume 2013
  • - Article ID 616549
  • - Research Article

Mann-Type Extragradient Methods for General Systems of Variational Inequalities with Multivalued Variational Inclusion Constraints in Banach Spaces

Lu-Chuan Ceng | Abdul Latif | Saleh A. Al-Mezel
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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