Lie Groups Associated to H"older-Continuous Functions
Rafael Dahmen
TL;DR
This paper develops foundational tools for H"older-continuous functions between Banach spaces and uses these to construct new examples of infinite-dimensional (LB)-Lie groups.
Contribution
It introduces new methods for analyzing H"older-continuous functions and constructs novel infinite-dimensional Lie groups based on these functions.
Findings
Established basic properties of H"older-continuous function spaces.
Constructed new examples of infinite-dimensional (LB)-Lie groups.
Abstract
We proof some basic tools about spaces of H"older-continuous functions between (in general infinite dimensional) Banach spaces and use them to construct new examples of infinite dimensional (LB)-Lie groups.
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Taxonomy
TopicsAdvanced Banach Space Theory · Advanced Topology and Set Theory