Advances in Functional Analysis and Banach Space
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 31 May 2026 | Viewed by 14
Special Issue Editors
Interests: Banach space, geometry theory and its applications
2. Department of Mathematical and Physical Sciences, La Trobe University, Melbourne, VIC 3086, Australia
Interests: topological groups, especially locally compact groups; pro-Lie groups; topological algebra; topological vector spaces; Banach spaces; topology; group theory; functional analysis; universal algebra; transcendental number theory; numerical geometry; history of mathematics; information technology security; health informatics; international education; university education; online education; social media in the teaching of mathematics; stock market prediction
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Functional analysis is a branch of mathematics and a fundamental theory of modern mathematics. An important branch of functional analysis is Banach theory, which studies the geometric structure of Banach spaces (including convexity theory, norm differentiability theory, geometric constants, etc.), as well as the application of Banach space geometry in convex optimization theory, approximation theory, fixed point theory, etc. Banach theory is also the foundation of operator theory. Banach spaces have good geometric properties that ensure good operator properties, such as in the wide application of Banach space geometry theory in operator-generalized inverse theory.
Banach space theory is widely used to solve ordinary differential equations and partial differential equations, providing a mathematical framework for quantum mechanics. Mathematical physics, mechanical engineering, and control engineering are some sciences that can benefit from Banach space theory.
Axioms plans to launch a Special Issue on functional analysis and operator Banach space theory. This Special Issue will invite researchers to introduce their latest innovations, trends, areas of focus, practical challenges encountered, and solutions adopted in the field of Banach space theory. This Special Issue welcomes original and unpublished mathematical papers on the latest developments with high standards and significant implications.
Dr. Shaoqiang Shang
Prof. Dr. Sidney A. Morris
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
- Banach space geometry theory
- fixed point theory
- orlicz space
- coarse isometry
- approximation
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