3 papers
math.FA2025
Operator-valued Khintchine inequality for -free semicircles
Benoît Collins, Akihiro Miyagawa
We exhibit several bounds for operator norms of the sum of -free semicircular random variables introduced in the paper of Speicher and Wysoczański. In particular, using the firs…
math.OA2023
A note on free divergence-free vector fields
Hyuga Ito, Akihiro Miyagawa
We exhibit an orthonormal basis of cyclic gradients and a (non-orthogonal) basis of the homogeneous free divergence-free vector field on the full Fock space and determine the dimen…
math.OA2023
A short note on strong convergence of -Gaussians
Akihiro Miyagawa
In this note, we prove strong convergence of -Gaussians with respect to a parameter , which implies the spectrum of any self-adjoint non-commutative polynomial in -Gaussia…