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比利时vs摩洛哥足彩 ,
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

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