Recent Advances in Functional Analysis and Operator Theory, 2nd Edition

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 31 January 2026

Special Issue Editors


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Guest Editor
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB T6G 2R3, Canada
Interests: functional analysis; operator theory; matrix theory
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Department of Primary Mathematics Teacher Education, İnönü University, Malatya 44280, Turkey
Interests: functional analysis; summability; sequence spaces; FK-spaces; bases; dual spaces; matrix transformations; spectrum and the fine spectrum of a limitation matrix over any given sequence space; alpha-, beta- and gamma-duals and some topological properties of the matrix domains; sets of the sequences of fuzzy numbers; multiplicative calculus
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Functional analysis is a branch of mathematics that studies vector spaces equipped with limit-related structures, along with the linear functions acting on these spaces. A key area within functional analysis is operator theory, which focuses on the properties of operators and their applications in solving problems. The concept of operators in mathematics has its roots in classical analysis, particularly in integral equations and the solution of eigenfunctions and eigenvalues for differential operators, such as those arising in the the Sturm–Liouville problem.

Operator theory plays a fundamental role in solving ordinary and partial differential equations and provides the mathematical framework for quantum mechanics. It also finds applications in fields such as mathematical physics, mechanical engineering, and control engineering systems .

Axioms is pleased announce a Special Issue on functional analysis and operator theory. This Issue invites researchers to present their latest innovations, emerging trends, challenges encountered, and solutions developed in the field of of operator theory. Original, unpublished mathematics papers that demonstrate recent advances and have significant implications are welcome for submission.  

Prof. Dr. Hadi Roopaei
Prof. Dr. Feyzi Başar
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • norm of operators
  • bounded operators
  • compact operators
  • commutants of operators
  • special operators (Hausdorff, Hilbert, Cesaro, backward/forward difference operator, weighted mean, Norlund, L-matrices, etc.)
  • factorization of operators
  • composition of operators
  • spectrum of operators
  • sequence spaces
  • summability

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