Showing math.OAShow all
2 papers · 1 filter
math.OA2026
The spectra of polynomials in free (semi)circular operators
Akihiro Miyagawa
We show that any -bounded rational function in free semicircular random variables is a bounded operator, which implies the coincidence of the usual spectrum and -spectrum…
math.OA2024
The strong Haagerup inequality for q-circular systems
Todd Kemp, Akihiro Miyagawa
Together with Speicher, in 2007 the first author proved the strong Haagerup inequality for operator norms of homogeneous holomorphic polynomials in freely independent …