REVIEW 1 cited by
Measurable regularity of infinite-dimensional Lie groups based on Lusin measurability
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We discuss Lebesgue spaces $\mathcal{L}^p([a,b],E)$ of Lusin measurable vector-valued functions and the corresponding vector spaces $AC_{L^p}([a,b],E)$ of absolutely continuous functions. These can be used to construct Lie groups $AC_{L^p}([a,b],G)$ of absolutely continuous functions with values in an infinite-dimensional Lie group $G$. We extend the notion of $L^p$-regularity of infinite-dimensional Lie groups introduced by Gl\"ockner to this setting and adopt several results and tools.
Forward citations
Cited by 1 Pith paper
-
On $L^p$-spaces of functions with values in locally convex spaces
Defines L^p spaces via Lusin measurability for functions valued in locally convex spaces and proves density of simple functions plus dyadic approximation results in the Hausdorff case.
Discussion (0). Continue with ORCID to comment.