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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 243: Seminar in Functional Analysis
Hyuga Ito
Nagoya University
$B$-valued semi-circular system and free Poincaré inequality
Abstract:
In 2003, P. Biane characterized a free semi-circular system in terms of free Poincaré inequality, which is an inequality related to the non-commutative L^2-norm of free difference quotients. In this talk, we will generalize his result to $B$-valued semi-circular system using a “natural” $B$-valued free Poincaré inequality. If time permits, we will also give a counterexample to Voiculescu’s conjecture related to $B$-valued free Poincaré inequality.
February 20, 2025
11:00 AM
APM B412
Research Areas
Functional Analysis / Operator Theory****************************
