Recent Advances in Functional Analysis and Matrix Theory

Dear Colleagues,

This Special Issue, “Recent Advances in Functional Analysis and Matrix Theory”, aims to bring together original research and comprehensive review papers that explore new developments, methodologies, and applications in these two closely related fields of modern mathematics. Functional analysis and matrix theory continue to play a central role in pure and applied mathematics, bridging areas such as operator theory, spectral analysis, numerical linear algebra, quantum information, optimization, and data science.

The Issue welcomes contributions that advance our understanding of functional spaces, operator algebras, Banach and Hilbert space theory, and nonlinear functional analysis, as well as studies addressing the spectral properties of linear and nonlinear operators. In matrix theory, topics of interest include but are not limited to matrix inequalities, eigenvalue and singular value problems, structured matrices, matrix functions, perturbation theory, and the development of efficient computational algorithms.

We are particularly interested in works highlighting the explicit interplay and concrete connections between functional analysis and matrix theory, such as operator matrix equations, block operator techniques, and applications to partial differential equations, control theory, and mathematical physics. Submissions that strike a balance between theoretical advancements and computational or applied contributions—for example, in engineering, machine learning, or numerical modeling—are especially encouraged.

The goal of this Special Issue is to provide a platform where researchers can present innovative theoretical insights and new computational approaches that push the boundaries of both functional analysis and matrix theory, inspiring future research across mathematics and its numerous applications.

Dr. Maria Zeltser
Dr. Ants Aasma
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 250 words) can be sent to the Editorial Office for assessment.

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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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.