Regularity properties of infinite-dimensional Lie groups and exponential laws / von Natalie Nikitin. Paderborn, 2021
Inhalt
- Acknowledgements
- Abstract
- Introduction
- Exponential laws for spaces of differentiable functions on topological groups
- Differentiability on topological groups
- Differentiability on products of topological groups
- Properties of Ck- and Ck,l-functions
- Properties of spaces of Ck- and Ck,l-functions
- The exponential law
- Differentiability along one-parameter subgroups compared to differentiability on Lie groups as manifolds
- Measurable regularity of infinite-dimensional Lie groups based on Lusin measurability
- Measurable functions and Lebesgue spaces
- Spaces ACLp([a,b],E) and ACLp([a,b],G)
- Measurable regularity of Lie groups
- Bibliography