SL(n) covariant vector-valued valuations on Orlicz spaces
Chunna Zeng, Yu Lan
TL;DR
This paper establishes a representation theorem for continuous, SL(n) covariant vector-valued valuations on Orlicz spaces, showing they are uniquely characterized as moment vectors, thus advancing the understanding of valuation structures in functional analysis.
Contribution
It provides a unique characterization of SL(n) covariant valuations on Orlicz spaces as moment vectors, a novel result in valuation theory.
Findings
Valuations are represented as moment vectors.
The theorem applies to continuous, SL(n) covariant valuations.
This advances the classification of valuations in Orlicz spaces.
Abstract
A representation theorem for continuous, SL(n) covariant vector-valued valuations on Orlicz spaces is established. Such valuations are uniquely characterized as moment vectors.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Banach Space Theory · Approximation Theory and Sequence Spaces