We study positive semicharacters of generating Lie subsemigroup $$S$$ of a connected Lie group $$G$$ . These semicharacters are important for positive representations of $$S$$ in Hilbert space and for completely monotonic functions in $$S$$ . We describe the tangent map for a positive semicharacter and then obtain a necessary and sufficient condition for nontriviality of the wedge $$S_1^*$$ consisting of all bounded positive semicharacters of $$S$$ . In particular $$S_1^*$$ is nontrivial for a solvable simply connected $$G$$ and invariant $$S$$ without nontrivial subgroups, but it is trivial for a semisimple $$G$$ .
Positivity – Springer Journals
Published: Oct 22, 2004
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
All the latest content is available, no embargo periods.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud