Non-archimedean Functional Analysis
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: closed (30 January 2024) | Viewed by 454
Special Issue Editors
Interests: minimal topological groups; non-Archimedean topological groups and ultra-metrics; free topological groups; algebraic and topological entropies
Special Issue Information
Dear Colleagues,
The aim of this Special Issue is to enrich our knowledge concerning functional analysis over non-Archimedean valued fields such as the discretely valued field of p-adic numbers or the densely valued field of Levi-Civita. Ultra-metric spaces, as well as non-Archimedean groups and non-Archimedean uniformities, have inspired research in various disciplines, such as descriptive set theory, computer science, etc.
Eighty years ago, it was A. F. Monna who started exploring valued fields that were different to real and the complex numbers.
Moving from the Archimedean world to the non-Archimedean world, one obtains, among other things, a deeper understanding of real and complex analysis by investigating the similarities and differences between these worlds.
We welcome papers that will shed new light on this interesting topic. Discovering new applications and unexpected connections to other fields of mathematics such as number theory, optimization theory, etc., is also one of our goals.
Dr. Menachem Shlossberg
Prof. Dr. Su Gao
Guest Editors
Manuscript Submission Information
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Keywords
- p-adic numbers
- Levi-Civita field
- ultra-metric
- non-Archimedean group
- non-Archimedean uniform space
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